31140413304 has 512 divisors, whose sum is σ = 109543311360. Its totient is φ = 7116595200.

The previous prime is 31140413303. The next prime is 31140413329. The reversal of 31140413304 is 40331404113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140413303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47110734 + ... + 47111394.

It is an arithmetic number, because the mean of its divisors is an integer number (213951780).

Almost surely, 2^31140413304 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 31140413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54771655680).

31140413304 is an abundant number, since it is smaller than the sum of its proper divisors (78402898056).

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

31140413304 is a wasteful number, since it uses less digits than its factorization.

31140413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31140413304 its reverse (40331404113), we get a palindrome (71471817417).

It can be divided in two parts, 31140 and 413304, that added together give a palindrome (444444).

The spelling of 31140413304 in words is "thirty-one billion, one hundred forty million, four hundred thirteen thousand, three hundred four".