13114420790400 has 576 divisors, whose sum is σ = 47604977807400. Its totient is φ = 3437174784000.

The previous prime is 13114420790347. The next prime is 13114420790483. The reversal of 13114420790400 is 409702441131.

13114420790400 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 44 + 207 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6569133033024 + 6545287757376 = 2563032^2 + 2558376^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398489146 + ... + 398522054.

Almost surely, 2^{13114420790400} is an apocalyptic number.

13114420790400 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 13114420790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23802488903700).

13114420790400 is an abundant number, since it is smaller than the sum of its proper divisors (34490557017000).

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

13114420790400 is a wasteful number, since it uses less digits than its factorization.

13114420790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33177 (or 33157 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13114420790400 in words is "thirteen trillion, one hundred fourteen billion, four hundred twenty million, seven hundred ninety thousand, four hundred".