32420318040 has 320 divisors, whose sum is σ = 119163432960. Its totient is φ = 7840385280.

The previous prime is 32420318039. The next prime is 32420318059. The reversal of 32420318040 is 4081302423.

32420318040 is a `hidden beast` number, since 324 + 20 + 318 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32420317995 and 32420318013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19494249 + ... + 19495911.

It is an arithmetic number, because the mean of its divisors is an integer number (372385728).

Almost surely, 2^32420318040 is an apocalyptic number.

32420318040 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 32420318040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59581716480).

32420318040 is an abundant number, since it is smaller than the sum of its proper divisors (86743114920).

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

32420318040 is a wasteful number, since it uses less digits than its factorization.

32420318040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

It can be divided in two parts, 324203 and 18040, that added together give a palindrome (342243).

The spelling of 32420318040 in words is "thirty-two billion, four hundred twenty million, three hundred eighteen thousand, forty".