13401414330400 has 144 divisors (see below), whose sum is σ = 32755151598624. Its totient is φ = 5354188922880.

The previous prime is 13401414330397. The next prime is 13401414330413. The reversal of 13401414330400 is 403341410431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4522919319 + ... + 4522922281.

It is an arithmetic number, because the mean of its divisors is an integer number (227466330546).

Almost surely, 2^{13401414330400} is an apocalyptic number.

13401414330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401414330400 is an abundant number, since it is smaller than the sum of its proper divisors (19353737268224).

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

13401414330400 is a wasteful number, since it uses less digits than its factorization.

13401414330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13401414330400 its reverse (403341410431), we get a palindrome (13804755740831).

The spelling of 13401414330400 in words is "thirteen trillion, four hundred one billion, four hundred fourteen million, three hundred thirty thousand, four hundred".