31140495360 has 900 divisors, whose sum is σ = 126889683228. Its totient is φ = 7261913088.

The previous prime is 31140495329. The next prime is 31140495361. The reversal of 31140495360 is 6359404113.

31140495360 is a `hidden beast` number, since 3 + 114 + 0 + 4 + 9 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7665352704 + 23475142656 = 87552^2 + 153216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140495361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1638973431 + ... + 1638973449.

Almost surely, 2^31140495360 is an apocalyptic number.

31140495360 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 31140495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63444841614).

31140495360 is an abundant number, since it is smaller than the sum of its proper divisors (95749187868).

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

31140495360 is an equidigital number, since it uses as much as digits as its factorization.

31140495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 31140495360 its reverse (6359404113), we get a palindrome (37499899473).

The spelling of 31140495360 in words is "thirty-one billion, one hundred forty million, four hundred ninety-five thousand, three hundred sixty".