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4080880000 = 2754291759
BaseRepresentation
bin1111001100111101…
…0100100110000000
3101112101220011221201
43303033110212000
531324201130000
61512535230544
7203061623221
oct36317244600
911471804851
104080880000
1118046065aa
1295a818454
135005cc4c2
142a9da9248
1518d3ee96a
hexf33d4980

4080880000 has 160 divisors (see below), whose sum is σ = 10515384000. Its totient is φ = 1575168000.

The previous prime is 4080879997. The next prime is 4080880031. The reversal of 4080880000 is 880804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2319121 + ... + 2320879.

It is an arithmetic number, because the mean of its divisors is an integer number (65721150).

Almost surely, 24080880000 is an apocalyptic number.

4080880000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257692000).

4080880000 is an abundant number, since it is smaller than the sum of its proper divisors (6434504000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4080880000 is an equidigital number, since it uses as much as digits as its factorization.

4080880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 4080880000 is about 63881.7657864903. The cubic root of 4080880000 is about 1598.0288225344.

The spelling of 4080880000 in words is "four billion, eighty million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1759 1856 2000 2320 2500 2900 3200 3518 3625 3712 4000 4640 5000 5800 7036 7250 8000 8795 9280 10000 11600 14072 14500 16000 17590 18125 18560 20000 23200 28144 29000 35180 36250 40000 43975 46400 51011 56288 58000 70360 72500 80000 87950 92800 102022 112576 116000 140720 145000 175900 204044 219875 225152 232000 255055 281440 290000 351800 408088 439750 464000 510110 562880 580000 703600 816176 879500 1020220 1099375 1125760 1160000 1275275 1407200 1632352 1759000 2040440 2198750 2320000 2550550 2814400 3264704 3518000 4080880 4397500 5101100 5628800 6376375 6529408 7036000 8161760 8795000 10202200 12752750 14072000 16323520 17590000 20404400 25505500 28144000 31881875 32647040 35180000 40808800 51011000 63763750 70360000 81617600 102022000 127527500 140720000 163235200 204044000 255055000 408088000 510110000 816176000 1020220000 2040440000 4080880000