4056953472 has 256 divisors, whose sum is σ = 14068656000. Its totient is φ = 1134673920.

The previous prime is 4056953437. The next prime is 4056953489. The reversal of 4056953472 is 2743596504.

4056953472 is a `hidden beast` number, since 40 + 5 + 6 + 9 + 534 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490104 + ... + 498312.

Almost surely, 2^4056953472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034328000).

4056953472 is an abundant number, since it is smaller than the sum of its proper divisors (10011702528).

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

4056953472 is a wasteful number, since it uses less digits than its factorization.

4056953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4056953472 is about 63694.2185131429. The cubic root of 4056953472 is about 1594.8995749837.

The spelling of 4056953472 in words is "four billion, fifty-six million, nine hundred fifty-three thousand, four hundred seventy-two".