31013041440 has 96 divisors (see below), whose sum is σ = 97858393920. Its totient is φ = 8255980544.

The previous prime is 31013041417. The next prime is 31013041447. The reversal of 31013041440 is 4414031013.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (31013041447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226726 + ... + 336794.

It is an arithmetic number, because the mean of its divisors is an integer number (1019358270).

Almost surely, 2^31013041440 is an apocalyptic number.

31013041440 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 31013041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48929196960).

31013041440 is an abundant number, since it is smaller than the sum of its proper divisors (66845352480).

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

31013041440 is a wasteful number, since it uses less digits than its factorization.

31013041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110674 (or 110666 counting only the distinct ones).

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

Adding to 31013041440 its reverse (4414031013), we get a palindrome (35427072453).

The spelling of 31013041440 in words is "thirty-one billion, thirteen million, forty-one thousand, four hundred forty".