13114414110400 has 84 divisors (see below), whose sum is σ = 33968058205480. Its totient is φ = 4969672704000.

The previous prime is 13114414110341. The next prime is 13114414110401. The reversal of 13114414110400 is 401141441131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13114414110401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215667201 + ... + 215728000.

Almost surely, 2^{13114414110400} is an apocalyptic number.

13114414110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114414110400 is an abundant number, since it is smaller than the sum of its proper divisors (20853644095080).

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

13114414110400 is a wasteful number, since it uses less digits than its factorization.

13114414110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431395242 (or 431395227 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 13114414110400 its reverse (401141441131), we get a palindrome (13515555551531).

The spelling of 13114414110400 in words is "thirteen trillion, one hundred fourteen billion, four hundred fourteen million, one hundred ten thousand, four hundred".