32240557440 has 1536 divisors, whose sum is σ = 149443056000. Its totient is φ = 6502809600.

The previous prime is 32240557421. The next prime is 32240557451. The reversal of 32240557440 is 4475504223.

32240557440 is a `hidden beast` number, since 3 + 2 + 2 + 40 + 5 + 574 + 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 = 32240557395 and 32240557404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319213390 + ... + 319213490.

Almost surely, 2^32240557440 is an apocalyptic number.

32240557440 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 32240557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74721528000).

32240557440 is an abundant number, since it is smaller than the sum of its proper divisors (117202498560).

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

32240557440 is a wasteful number, since it uses less digits than its factorization.

32240557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 32240557440 in words is "thirty-two billion, two hundred forty million, five hundred fifty-seven thousand, four hundred forty".