4001456251256 has 64 divisors (see below), whose sum is σ = 7820258503680. Its totient is φ = 1917934495360.

The previous prime is 4001456251201. The next prime is 4001456251271. The reversal of 4001456251256 is 6521526541004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11526701 + ... + 11868771.

It is an arithmetic number, because the mean of its divisors is an integer number (122191539120).

Almost surely, 2^{4001456251256} is an apocalyptic number.

It is an amenable number.

4001456251256 is a deficient number, since it is larger than the sum of its proper divisors (3818802252424).

4001456251256 is a wasteful number, since it uses less digits than its factorization.

4001456251256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342764 (or 342760 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 4001456251256 in words is "four trillion, one billion, four hundred fifty-six million, two hundred fifty-one thousand, two hundred fifty-six".