31350616440 has 256 divisors, whose sum is σ = 115300039680. Its totient is φ = 6710415360.

The previous prime is 31350616433. The next prime is 31350616499. The reversal of 31350616440 is 4461605313.

It is a super-3 number, since 3×31350616440³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354964 + ... + 434396.

It is an arithmetic number, because the mean of its divisors is an integer number (450390780).

Almost surely, 2^31350616440 is an apocalyptic number.

31350616440 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 31350616440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57650019840).

31350616440 is an abundant number, since it is smaller than the sum of its proper divisors (83949423240).

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

31350616440 is a wasteful number, since it uses less digits than its factorization.

31350616440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79494 (or 79490 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 31350616440 in words is "thirty-one billion, three hundred fifty million, six hundred sixteen thousand, four hundred forty".