13044292971840 has 896 divisors, whose sum is σ = 52216599859200. Its totient is φ = 3038925496320.

The previous prime is 13044292971803. The next prime is 13044292971869. The reversal of 13044292971840 is 4817929244031.

13044292971840 is a `hidden beast` number, since 1 + 3 + 0 + 442 + 92 + 9 + 71 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2780703895 + ... + 2780708585.

It is an arithmetic number, because the mean of its divisors is an integer number (58277455200).

Almost surely, 2^{13044292971840} is an apocalyptic number.

13044292971840 is a gapful number since it is divisible by the number (10) 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 13044292971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26108299929600).

13044292971840 is an abundant number, since it is smaller than the sum of its proper divisors (39172306887360).

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

13044292971840 is a wasteful number, since it uses less digits than its factorization.

13044292971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13044292971840 in words is "thirteen trillion, forty-four billion, two hundred ninety-two million, nine hundred seventy-one thousand, eight hundred forty".