13114440400 has 60 divisors (see below), whose sum is σ = 32275957644. Its totient is φ = 5117824000.

The previous prime is 13114440397. The next prime is 13114440413. The reversal of 13114440400 is 404441131.

It can be written as a sum of positive squares in 6 ways, for example, as 3225331264 + 9889109136 = 56792^2 + 99444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383431 + ... + 416230.

Almost surely, 2^13114440400 is an apocalyptic number.

13114440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114440400 is an abundant number, since it is smaller than the sum of its proper divisors (19161517244).

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

13114440400 is a wasteful number, since it uses less digits than its factorization.

13114440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799720 (or 799709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13114440400 its reverse (404441131), we get a palindrome (13518881531).

The spelling of 13114440400 in words is "thirteen billion, one hundred fourteen million, four hundred forty thousand, four hundred".