4001145014256 has 80 divisors (see below), whose sum is σ = 11189670481920. Its totient is φ = 1224675843840.

The previous prime is 4001145014249. The next prime is 4001145014323. The reversal of 4001145014256 is 6524105411004.

It is a super-2 number, since 2×4001145014256² (a number of 26 digits) contains 22 as substring.

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, 16666396 + ... + 16904763.

It is an arithmetic number, because the mean of its divisors is an integer number (139870881024).

Almost surely, 2^{4001145014256} is an apocalyptic number.

It is an amenable number.

4001145014256 is an abundant number, since it is smaller than the sum of its proper divisors (7188525467664).

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

4001145014256 is a wasteful number, since it uses less digits than its factorization.

4001145014256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33571374 (or 33571368 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 4001145014256 in words is "four trillion, one billion, one hundred forty-five million, fourteen thousand, two hundred fifty-six".