4056006504 has 32 divisors (see below), whose sum is σ = 11061836640. Its totient is φ = 1229092800.

The previous prime is 4056006503. The next prime is 4056006527.

4056006504 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4056006503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7681567 + ... + 7682094.

It is an arithmetic number, because the mean of its divisors is an integer number (345682395).

Almost surely, 2^4056006504 is an apocalyptic number.

4056006504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4056006504 is an abundant number, since it is smaller than the sum of its proper divisors (7005830136).

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

4056006504 is a wasteful number, since it uses less digits than its factorization.

4056006504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363681 (or 15363677 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4056006504 is about 63686.7843747822. The cubic root of 4056006504 is about 1594.7754723043.

The spelling of 4056006504 in words is "four billion, fifty-six million, six thousand, five hundred four".