31961372221440 has 560 divisors, whose sum is σ = 117245629158768. Its totient is φ = 8324785373184.

The previous prime is 31961372221411. The next prime is 31961372221469. The reversal of 31961372221440 is 4412227316913.

31961372221440 is a `hidden beast` number, since 3 + 1 + 9 + 61 + 372 + 2 + 214 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31961372221411) and next prime (31961372221469).

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142551664 + ... + 142775696.

Almost surely, 2^{31961372221440} is an apocalyptic number.

31961372221440 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 31961372221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58622814579384).

31961372221440 is an abundant number, since it is smaller than the sum of its proper divisors (85284256937328).

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

31961372221440 is an equidigital number, since it uses as much as digits as its factorization.

31961372221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224119 (or 224086 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 31961372221440 in words is "thirty-one trillion, nine hundred sixty-one billion, three hundred seventy-two million, two hundred twenty-one thousand, four hundred forty".