13972410576 has 220 divisors, whose sum is σ = 42438512928. Its totient is φ = 4448043072.

The previous prime is 13972410539. The next prime is 13972410581. The reversal of 13972410576 is 67501427931.

13972410576 is a `hidden beast` number, since 1 + 3 + 9 + 72 + 4 + 1 + 0 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 21729711 + ... + 21730353.

Almost surely, 2^13972410576 is an apocalyptic number.

13972410576 is a gapful number since it is divisible by the number (16) 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 13972410576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21219256464).

13972410576 is an abundant number, since it is smaller than the sum of its proper divisors (28466102352).

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

13972410576 is an frugal number, since it uses more digits than its factorization.

13972410576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13972410576 in words is "thirteen billion, nine hundred seventy-two million, four hundred ten thousand, five hundred seventy-six".