31145310400 has 84 divisors (see below), whose sum is σ = 76840633720. Its totient is φ = 12425011200.

The previous prime is 31145310379. The next prime is 31145310419. The reversal of 31145310400 is 401354113.

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, 580720 + ... + 632080.

Almost surely, 2^31145310400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31145310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38420316860).

31145310400 is an abundant number, since it is smaller than the sum of its proper divisors (45695323320).

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

31145310400 is a wasteful number, since it uses less digits than its factorization.

31145310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51762 (or 51747 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 31145310400 its reverse (401354113), we get a palindrome (31546664513).

The spelling of 31145310400 in words is "thirty-one billion, one hundred forty-five million, three hundred ten thousand, four hundred".