31665151440 has 360 divisors, whose sum is σ = 115609522392. Its totient is φ = 7763558400.

The previous prime is 31665151433. The next prime is 31665151481. The reversal of 31665151440 is 4415156613.

31665151440 is a `hidden beast` number, since 3 + 1 + 6 + 65 + 151 + 440 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 19087080336 + 12578071104 = 138156^2 + 112152^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 31665151395 and 31665151404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52687140 + ... + 52687740.

Almost surely, 2^31665151440 is an apocalyptic number.

31665151440 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 31665151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57804761196).

31665151440 is an abundant number, since it is smaller than the sum of its proper divisors (83944370952).

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

31665151440 is a wasteful number, since it uses less digits than its factorization.

31665151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 31665151440 in words is "thirty-one billion, six hundred sixty-five million, one hundred fifty-one thousand, four hundred forty".