13009922336400 has 960 divisors, whose sum is σ = 50023092602880. Its totient is φ = 2853087641600.

The previous prime is 13009922336347. The next prime is 13009922336479. The reversal of 13009922336400 is 463322990031.

13009922336400 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 191 ways as a sum of consecutive naturals, for example, 1477220797 + ... + 1477229603.

It is an arithmetic number, because the mean of its divisors is an integer number (52107388128).

Almost surely, 2^{13009922336400} is an apocalyptic number.

13009922336400 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 13009922336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25011546301440).

13009922336400 is an abundant number, since it is smaller than the sum of its proper divisors (37013170266480).

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

13009922336400 is a wasteful number, since it uses less digits than its factorization.

13009922336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 13009922336400 in words is "thirteen trillion, nine billion, nine hundred twenty-two million, three hundred thirty-six thousand, four hundred".