13310142414400 has 84 divisors (see below), whose sum is σ = 35270597631892. Its totient is φ = 4914514114560.

The previous prime is 13310142414397. The next prime is 13310142414427. The reversal of 13310142414400 is 441424101331.

It can be written as a sum of positive squares in 6 ways, for example, as 771291445824 + 12538850968576 = 878232^2 + 3541024^2 .

It is a super-2 number, since 2×13310142414400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319934547 + ... + 319976146.

Almost surely, 2^{13310142414400} is an apocalyptic number.

13310142414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310142414400 is an abundant number, since it is smaller than the sum of its proper divisors (21960455217492).

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

13310142414400 is a wasteful number, since it uses less digits than its factorization.

13310142414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639910728 (or 639910713 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13310142414400 its reverse (441424101331), we get a palindrome (13751566515731).

The spelling of 13310142414400 in words is "thirteen trillion, three hundred ten billion, one hundred forty-two million, four hundred fourteen thousand, four hundred".