32131321136640 has 480 divisors, whose sum is σ = 128537114767776. Its totient is φ = 7331209543680.

The previous prime is 32131321136591. The next prime is 32131321136669. The reversal of 32131321136640 is 4663112313123.

32131321136640 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 1 + 3 + 2 + 1 + 1 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 32131321136595 and 32131321136604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579634 + ... + 8037326.

Almost surely, 2^{32131321136640} is an apocalyptic number.

32131321136640 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 32131321136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64268557383888).

32131321136640 is an abundant number, since it is smaller than the sum of its proper divisors (96405793631136).

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

32131321136640 is a wasteful number, since it uses less digits than its factorization.

32131321136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457750 (or 7457731 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 32131321136640 its reverse (4663112313123), we get a palindrome (36794433449763).

The spelling of 32131321136640 in words is "thirty-two trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred thirty-six thousand, six hundred forty".