31299287040 has 864 divisors, whose sum is σ = 131085864000. Its totient is φ = 6878527488.

The previous prime is 31299287039. The next prime is 31299287057. The reversal of 31299287040 is 4078299213.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130959241 + ... + 130959479.

It is an arithmetic number, because the mean of its divisors is an integer number (151719750).

Almost surely, 2^31299287040 is an apocalyptic number.

31299287040 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 31299287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65542932000).

31299287040 is an abundant number, since it is smaller than the sum of its proper divisors (99786576960).

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

31299287040 is a wasteful number, since it uses less digits than its factorization.

31299287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 31299287040 in words is "thirty-one billion, two hundred ninety-nine million, two hundred eighty-seven thousand, forty".