1405556955264 has 2048 divisors, whose sum is σ = 5504827392000. Its totient is φ = 309115699200.

The previous prime is 1405556955167. The next prime is 1405556955269. The reversal of 1405556955264 is 4625596555041.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1405556955269) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45340546929 + ... + 45340546959.

It is an arithmetic number, because the mean of its divisors is an integer number (2687904000).

Almost surely, 2^{1405556955264} is an apocalyptic number.

1405556955264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405556955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752413696000).

1405556955264 is an abundant number, since it is smaller than the sum of its proper divisors (4099270436736).

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

1405556955264 is a wasteful number, since it uses less digits than its factorization.

1405556955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 57.

The spelling of 1405556955264 in words is "one trillion, four hundred five billion, five hundred fifty-six million, nine hundred fifty-five thousand, two hundred sixty-four".