14326516214400 has 192 divisors, whose sum is σ = 50817806514720. Its totient is φ = 3526527037440.

The previous prime is 14326516214357. The next prime is 14326516214431. The reversal of 14326516214400 is 441261562341.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×14326516214400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57273102 + ... + 57522701.

Almost surely, 2^{14326516214400} is an apocalyptic number.

14326516214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14326516214400 is an abundant number, since it is smaller than the sum of its proper divisors (36491290300320).

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

14326516214400 is a wasteful number, since it uses less digits than its factorization.

14326516214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114795843 (or 114795826 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 14326516214400 its reverse (441261562341), we get a palindrome (14767777776741).

The spelling of 14326516214400 in words is "fourteen trillion, three hundred twenty-six billion, five hundred sixteen million, two hundred fourteen thousand, four hundred".