1256011047144 has 160 divisors (see below), whose sum is σ = 4118627620800. Its totient is φ = 350107557120.

The previous prime is 1256011047131. The next prime is 1256011047157. The reversal of 1256011047144 is 4417401106521.

1256011047144 is a `hidden beast` number, since 1 + 2 + 5 + 601 + 1 + 0 + 4 + 7 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1256011047131) and next prime (1256011047157).

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

It is a junction number, because it is equal to n+sod(n) for n = 1256011047099 and 1256011047108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3190834 + ... + 3562785.

It is an arithmetic number, because the mean of its divisors is an integer number (25741422630).

Almost surely, 2^{1256011047144} is an apocalyptic number.

1256011047144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1256011047144 is an abundant number, since it is smaller than the sum of its proper divisors (2862616573656).

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

1256011047144 is a wasteful number, since it uses less digits than its factorization.

1256011047144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753685 (or 6753672 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1256011047144 in words is "one trillion, two hundred fifty-six billion, eleven million, forty-seven thousand, one hundred forty-four".