4056090624 has 72 divisors (see below), whose sum is σ = 11714787630. Its totient is φ = 1352024064.

The previous prime is 4056090611. The next prime is 4056090653. The reversal of 4056090624 is 4260906504.

4056090624 is a `hidden beast` number, since 4 + 0 + 560 + 90 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2618164224 + 1437926400 = 51168^2 + 37920^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91597 + ... + 128460.

Almost surely, 2^4056090624 is an apocalyptic number.

It is an amenable number.

4056090624 is an abundant number, since it is smaller than the sum of its proper divisors (7658697006).

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

4056090624 is a wasteful number, since it uses less digits than its factorization.

4056090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220085 (or 220062 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4056090624 is about 63687.4447909476. Note that the first 3 decimals coincide. The cubic root of 4056090624 is about 1594.7864972361.

The spelling of 4056090624 in words is "four billion, fifty-six million, ninety thousand, six hundred twenty-four".