13380378726400 has 1053 divisors, whose sum is σ = 40923653559033. Its totient is φ = 4326295142400.

The previous prime is 13380378726383. The next prime is 13380378726409. The reversal of 13380378726400 is 462787308331.

It is a happy number.

The square root of 13380378726400 is 3657920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4816936341504 + 8563442384896 = 2194752^2 + 2926336^2 .

It is not an unprimeable number, because it can be changed into a prime (13380378726409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 188456038365 + ... + 188456038435.

Almost surely, 2^{13380378726400} is an apocalyptic number.

13380378726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13380378726400 is the 3657920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13380378726400

13380378726400 is an abundant number, since it is smaller than the sum of its proper divisors (27543274832633).

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

13380378726400 is an frugal number, since it uses more digits than its factorization.

13380378726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 13380378726400 in words is "thirteen trillion, three hundred eighty billion, three hundred seventy-eight million, seven hundred twenty-six thousand, four hundred".