3814401440556 has 96 divisors (see below), whose sum is σ = 11304082944000. Its totient is φ = 1089621396864.

The previous prime is 3814401440537. The next prime is 3814401440587. The reversal of 3814401440556 is 6550441044183.

3814401440556 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 40 + 14 + 40 + 556 = 666.

3814401440556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3513040 + ... + 4468808.

It is an arithmetic number, because the mean of its divisors is an integer number (117750864000).

Almost surely, 2^{3814401440556} is an apocalyptic number.

3814401440556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3814401440556 is an abundant number, since it is smaller than the sum of its proper divisors (7489681503444).

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

3814401440556 is a wasteful number, since it uses less digits than its factorization.

3814401440556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961068 (or 961060 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 3814401440556 in words is "three trillion, eight hundred fourteen billion, four hundred one million, four hundred forty thousand, five hundred fifty-six".