4400256960001 has 48 divisors (see below), whose sum is σ = 5402995161600. Its totient is φ = 3563257195008.

The previous prime is 4400256959981. The next prime is 4400256960013. The reversal of 4400256960001 is 1000696520044.

It is not a de Polignac number, because 4400256960001 - 2³⁷ = 4262818006529 is a prime.

It is a super-2 number, since 2×4400256960001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4400256960091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570199195 + ... + 570206911.

It is an arithmetic number, because the mean of its divisors is an integer number (112562399200).

Almost surely, 2^{4400256960001} is an apocalyptic number.

It is an amenable number.

4400256960001 is a deficient number, since it is larger than the sum of its proper divisors (1002738201599).

4400256960001 is a wasteful number, since it uses less digits than its factorization.

4400256960001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 4400256960001 in words is "four trillion, four hundred billion, two hundred fifty-six million, nine hundred sixty thousand, one".