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400080480080 = 24547109976187
BaseRepresentation
bin1011101001001101010…
…01111010011101010000
31102020200022000011220112
411310212221322131100
523023331100330310
6503443333100452
740622236653551
oct5644651723520
91366608004815
10400080480080
11144745001266
1265656187728
132b95c2090a8
1415514b52328
15a6189e4705
hex5d26a7a750

400080480080 has 80 divisors (see below), whose sum is σ = 958694711040. Its totient is φ = 155190145536.

The previous prime is 400080480071. The next prime is 400080480089. The reversal of 400080480080 is 80084080004.

It is an interprime number because it is at equal distance from previous prime (400080480071) and next prime (400080480089).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400080480089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78254 + ... + 897933.

It is an arithmetic number, because the mean of its divisors is an integer number (11983683888).

Almost surely, 2400080480080 is an apocalyptic number.

400080480080 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 400080480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479347355520).

400080480080 is an abundant number, since it is smaller than the sum of its proper divisors (558614230960).

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

400080480080 is a wasteful number, since it uses less digits than its factorization.

400080480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976356 (or 976350 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 400080480080 in words is "four hundred billion, eighty million, four hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 109 188 218 235 376 436 470 545 752 872 940 1090 1744 1880 2180 3760 4360 5123 8720 10246 20492 25615 40984 51230 81968 102460 204920 409840 976187 1952374 3904748 4880935 7809496 9761870 15618992 19523740 39047480 45880789 78094960 91761578 106404383 183523156 212808766 229403945 367046312 425617532 458807890 532021915 734092624 851235064 917615780 1064043830 1702470128 1835231560 2128087660 3670463120 4256175320 5001006001 8512350640 10002012002 20004024004 25005030005 40008048008 50010060010 80016096016 100020120020 200040240040 400080480080