1405931612256 has 72 divisors (see below), whose sum is σ = 4073554255680. Its totient is φ = 459801528576.

The previous prime is 1405931612249. The next prime is 1405931612257. The reversal of 1405931612256 is 6522161395041.

It is a happy number.

1405931612256 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 9 + 3 + 1 + 612 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405931612257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46038576 + ... + 46069103.

It is an arithmetic number, because the mean of its divisors is an integer number (56577142440).

Almost surely, 2^{1405931612256} is an apocalyptic number.

1405931612256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1405931612256 is an abundant number, since it is smaller than the sum of its proper divisors (2667622643424).

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

1405931612256 is a wasteful number, since it uses less digits than its factorization.

1405931612256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92107748 (or 92107737 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1405931612256 in words is "one trillion, four hundred five billion, nine hundred thirty-one million, six hundred twelve thousand, two hundred fifty-six".