32112793440 has 960 divisors, whose sum is σ = 141774627456. Its totient is φ = 6664716288.

The previous prime is 32112793429. The next prime is 32112793451. The reversal of 32112793440 is 4439721123.

It is a happy number.

32112793440 is a `hidden beast` number, since 3 + 2 + 1 + 127 + 93 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (32112793429) and next prime (32112793451).

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 = 32112793395 and 32112793404.

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 159 ways as a sum of consecutive naturals, for example, 86093094 + ... + 86093466.

Almost surely, 2^32112793440 is an apocalyptic number.

32112793440 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 32112793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70887313728).

32112793440 is an abundant number, since it is smaller than the sum of its proper divisors (109661834016).

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

32112793440 is a wasteful number, since it uses less digits than its factorization.

32112793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32112793440 in words is "thirty-two billion, one hundred twelve million, seven hundred ninety-three thousand, four hundred forty".