13339823974400 has 1296 divisors, whose sum is σ = 43456173939360. Its totient is φ = 4015742976000.

The previous prime is 13339823974381. The next prime is 13339823974427. The reversal of 13339823974400 is 447932893331.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26520524549 + ... + 26520525051.

It is an arithmetic number, because the mean of its divisors is an integer number (33530998410).

Almost surely, 2^{13339823974400} is an apocalyptic number.

13339823974400 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 13339823974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21728086969680).

13339823974400 is an abundant number, since it is smaller than the sum of its proper divisors (30116349964960).

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

13339823974400 is a wasteful number, since it uses less digits than its factorization.

13339823974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 56.

The spelling of 13339823974400 in words is "thirteen trillion, three hundred thirty-nine billion, eight hundred twenty-three million, nine hundred seventy-four thousand, four hundred".