4057990272 has 384 divisors, whose sum is σ = 14400115200. Its totient is φ = 1120573440.

The previous prime is 4057990259. The next prime is 4057990283. The reversal of 4057990272 is 2720997504.

4057990272 is a `hidden beast` number, since 4 + 0 + 579 + 9 + 0 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5249278 + ... + 5250050.

It is an arithmetic number, because the mean of its divisors is an integer number (37500300).

Almost surely, 2^4057990272 is an apocalyptic number.

4057990272 is a gapful number since it is divisible by the number (42) 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 4057990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200057600).

4057990272 is an abundant number, since it is smaller than the sum of its proper divisors (10342124928).

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

4057990272 is a wasteful number, since it uses less digits than its factorization.

4057990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4057990272 is about 63702.3568794750. The cubic root of 4057990272 is about 1595.0354282412.

The spelling of 4057990272 in words is "four billion, fifty-seven million, nine hundred ninety thousand, two hundred seventy-two".