4056003072 has 400 divisors, whose sum is σ = 14010255072. Its totient is φ = 1154580480.

The previous prime is 4056003067. The next prime is 4056003101. The reversal of 4056003072 is 2703006504.

It is a happy number.

4056003072 is a `hidden beast` number, since 4 + 0 + 560 + 0 + 30 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7755003 + ... + 7755525.

Almost surely, 2^4056003072 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 4056003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005127536).

4056003072 is an abundant number, since it is smaller than the sum of its proper divisors (9954252000).

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

4056003072 is a wasteful number, since it uses less digits than its factorization.

4056003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4056003072 is about 63686.7574304109. The cubic root of 4056003072 is about 1594.7750224964.

Adding to 4056003072 its reverse (2703006504), we get a palindrome (6759009576).

The spelling of 4056003072 in words is "four billion, fifty-six million, three thousand, seventy-two".