13941442474560 has 1120 divisors, whose sum is σ = 52883084073600. Its totient is φ = 3476402012160.

The previous prime is 13941442474391. The next prime is 13941442474627. The reversal of 13941442474560 is 6547424414931.

13941442474560 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 1 + 4 + 4 + 2 + 4 + 74 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13941442474497 and 13941442474506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21091440630 + ... + 21091441290.

Almost surely, 2^{13941442474560} is an apocalyptic number.

13941442474560 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 13941442474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26441542036800).

13941442474560 is an abundant number, since it is smaller than the sum of its proper divisors (38941641599040).

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

13941442474560 is a wasteful number, since it uses less digits than its factorization.

13941442474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 13941442474560 in words is "thirteen trillion, nine hundred forty-one billion, four hundred forty-two million, four hundred seventy-four thousand, five hundred sixty".