31314104400 has 240 divisors, whose sum is σ = 108050227200. Its totient is φ = 7729497600.

The previous prime is 31314104357. The next prime is 31314104401. The reversal of 31314104400 is 440141313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314104401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837301 + ... + 873899.

It is an arithmetic number, because the mean of its divisors is an integer number (450209280).

Almost surely, 2^31314104400 is an apocalyptic number.

31314104400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025113600).

31314104400 is an abundant number, since it is smaller than the sum of its proper divisors (76736122800).

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

31314104400 is a wasteful number, since it uses less digits than its factorization.

31314104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36674 (or 36663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31314104400 its reverse (440141313), we get a palindrome (31754245713).

The spelling of 31314104400 in words is "thirty-one billion, three hundred fourteen million, one hundred four thousand, four hundred".