31142330400 has 288 divisors, whose sum is σ = 103481376768. Its totient is φ = 8133350400.

The previous prime is 31142330389. The next prime is 31142330407. The reversal of 31142330400 is 403324113.

It is not an unprimeable number, because it can be changed into a prime (31142330407) 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, 25297785 + ... + 25299015.

It is an arithmetic number, because the mean of its divisors is an integer number (359310336).

Almost surely, 2^31142330400 is an apocalyptic number.

31142330400 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 31142330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51740688384).

31142330400 is an abundant number, since it is smaller than the sum of its proper divisors (72339046368).

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

31142330400 is a wasteful number, since it uses less digits than its factorization.

31142330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31142330400 its reverse (403324113), we get a palindrome (31545654513).

The spelling of 31142330400 in words is "thirty-one billion, one hundred forty-two million, three hundred thirty thousand, four hundred".