1414315121256 has 64 divisors (see below), whose sum is σ = 3928758480000. Its totient is φ = 471425730048.

The previous prime is 1414315121249. The next prime is 1414315121257. The reversal of 1414315121256 is 6521215134141.

1414315121256 is a `hidden beast` number, since 1 + 4 + 1 + 431 + 5 + 1 + 212 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1414315121256.

It is not an unprimeable number, because it can be changed into a prime (1414315121257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11542360 + ... + 11664248.

It is an arithmetic number, because the mean of its divisors is an integer number (61386851250).

Almost surely, 2^{1414315121256} is an apocalyptic number.

It is an amenable number.

1414315121256 is an abundant number, since it is smaller than the sum of its proper divisors (2514443358744).

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

1414315121256 is a wasteful number, since it uses less digits than its factorization.

1414315121256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175623 (or 175613 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 1414315121256 in words is "one trillion, four hundred fourteen billion, three hundred fifteen million, one hundred twenty-one thousand, two hundred fifty-six".