32812093440 has 832 divisors, whose sum is σ = 136822464000. Its totient is φ = 7456555008.

The previous prime is 32812093429. The next prime is 32812093487. The reversal of 32812093440 is 4439021823.

32812093440 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 209 + 3 + 440 = 666.

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 = 32812093395 and 32812093404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189665194 + ... + 189665366.

Almost surely, 2^32812093440 is an apocalyptic number.

32812093440 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 32812093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68411232000).

32812093440 is an abundant number, since it is smaller than the sum of its proper divisors (104010370560).

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

32812093440 is an equidigital number, since it uses as much as digits as its factorization.

32812093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 32812093440 in words is "thirty-two billion, eight hundred twelve million, ninety-three thousand, four hundred forty".