4056306624 has 168 divisors, whose sum is σ = 12354366960. Its totient is φ = 1268047872.

The previous prime is 4056306623. The next prime is 4056306643. The reversal of 4056306624 is 4266036504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056306623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3710622 + ... + 3711714.

Almost surely, 2^4056306624 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 4056306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177183480).

4056306624 is an abundant number, since it is smaller than the sum of its proper divisors (8298060336).

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

4056306624 is a wasteful number, since it uses less digits than its factorization.

4056306624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4056306624 is about 63689.1405500184. The cubic root of 4056306624 is about 1594.8148059205.

The spelling of 4056306624 in words is "four billion, fifty-six million, three hundred six thousand, six hundred twenty-four".