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4040769480 = 2335119193331
BaseRepresentation
bin1111000011011001…
…0011111111001000
3101102121102100122220
43300312103333020
531233414110410
61504543414040
7202063655016
oct36066237710
911377370586
104040769480
1117939aaa10
129492b4320
134c51c7577
142a49278b6
15189b2a070
hexf0d93fc8

4040769480 has 128 divisors (see below), whose sum is σ = 13242700800. Its totient is φ = 978220800.

The previous prime is 4040769479. The next prime is 4040769487. The reversal of 4040769480 is 849670404.

It is not an unprimeable number, because it can be changed into a prime (4040769487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211415 + ... + 1214745.

It is an arithmetic number, because the mean of its divisors is an integer number (103458600).

Almost surely, 24040769480 is an apocalyptic number.

4040769480 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 4040769480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621350400).

4040769480 is an abundant number, since it is smaller than the sum of its proper divisors (9201931320).

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

4040769480 is a wasteful number, since it uses less digits than its factorization.

4040769480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4040769480 is about 63567.0471234900. The cubic root of 4040769480 is about 1592.7759583944.

The spelling of 4040769480 in words is "four billion, forty million, seven hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 919 1320 1838 2757 3331 3676 4595 5514 6662 7352 9190 9993 10109 11028 13324 13785 16655 18380 19986 20218 22056 26648 27570 30327 33310 36641 36760 39972 40436 49965 50545 55140 60654 66620 73282 79944 80872 99930 101090 109923 110280 121308 133240 146564 151635 183205 199860 202180 219846 242616 293128 303270 366410 399720 404360 439692 549615 606540 732820 879384 1099230 1213080 1465640 2198460 3061189 4396920 6122378 9183567 12244756 15305945 18367134 24489512 30611890 33673079 36734268 45917835 61223780 67346158 73468536 91835670 101019237 122447560 134692316 168365395 183671340 202038474 269384632 336730790 367342680 404076948 505096185 673461580 808153896 1010192370 1346923160 2020384740 4040769480