13378001702400 has 1080 divisors, whose sum is σ = 49449295178712. Its totient is φ = 3452866560000.

The previous prime is 13378001702339. The next prime is 13378001702411. The reversal of 13378001702400 is 420710087331.

13378001702400 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 80 + 0 + 170 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 102122150335 + ... + 102122150465.

Almost surely, 2^{13378001702400} is an apocalyptic number.

13378001702400 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 13378001702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724647589356).

13378001702400 is an abundant number, since it is smaller than the sum of its proper divisors (36071293476312).

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

13378001702400 is a wasteful number, since it uses less digits than its factorization.

13378001702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 13378001702400 its reverse (420710087331), we get a palindrome (13798711789731).

The spelling of 13378001702400 in words is "thirteen trillion, three hundred seventy-eight billion, one million, seven hundred two thousand, four hundred".