32257139040 has 432 divisors, whose sum is σ = 134794361520. Its totient is φ = 6984714240.

The previous prime is 32257139011. The next prime is 32257139071. The reversal of 32257139040 is 4093175223.

32257139040 is a `hidden beast` number, since 3 + 225 + 7 + 1 + 390 + 40 = 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 = 32257138986 and 32257139004.

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, 1328610 + ... + 1352670.

It is an arithmetic number, because the mean of its divisors is an integer number (312023985).

Almost surely, 2^32257139040 is an apocalyptic number.

32257139040 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 32257139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67397180760).

32257139040 is an abundant number, since it is smaller than the sum of its proper divisors (102537222480).

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

32257139040 is a wasteful number, since it uses less digits than its factorization.

32257139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 32257139040 in words is "thirty-two billion, two hundred fifty-seven million, one hundred thirty-nine thousand, forty".