32131661040 has 160 divisors (see below), whose sum is σ = 110744251200. Its totient is φ = 8563138560.

The previous prime is 32131661017. The next prime is 32131661041. The reversal of 32131661040 is 4016613123.

32131661040 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 1 + 6 + 610 + 40 = 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 = 32131660995 and 32131661013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131661041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4508680 + ... + 4515800.

It is an arithmetic number, because the mean of its divisors is an integer number (692151570).

Almost surely, 2^32131661040 is an apocalyptic number.

32131661040 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 32131661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55372125600).

32131661040 is an abundant number, since it is smaller than the sum of its proper divisors (78612590160).

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

32131661040 is a wasteful number, since it uses less digits than its factorization.

32131661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 32131661040 in words is "thirty-two billion, one hundred thirty-one million, six hundred sixty-one thousand, forty".