13998342758400 has 4032 divisors, whose sum is σ = 70065606514176. Its totient is φ = 2675441664000.

The previous prime is 13998342758333. The next prime is 13998342758417. The reversal of 13998342758400 is 485724389931.

13998342758400 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 8 + 3 + 42 + 7 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49816166260 + ... + 49816166540.

It is an arithmetic number, because the mean of its divisors is an integer number (17377382568).

Almost surely, 2^{13998342758400} is an apocalyptic number.

13998342758400 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 13998342758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35032803257088).

13998342758400 is an abundant number, since it is smaller than the sum of its proper divisors (56067263755776).

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

13998342758400 is a wasteful number, since it uses less digits than its factorization.

13998342758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 13998342758400 in words is "thirteen trillion, nine hundred ninety-eight billion, three hundred forty-two million, seven hundred fifty-eight thousand, four hundred".