32001020131400 has 192 divisors, whose sum is σ = 76723327785600. Its totient is φ = 12407383296000.

The previous prime is 32001020131387. The next prime is 32001020131477. The reversal of 32001020131400 is 413102010023.

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, 2142105131 + ... + 2142120069.

It is an arithmetic number, because the mean of its divisors is an integer number (399600665550).

Almost surely, 2^{32001020131400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32001020131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38361663892800).

32001020131400 is an abundant number, since it is smaller than the sum of its proper divisors (44722307654200).

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

32001020131400 is a wasteful number, since it uses less digits than its factorization.

32001020131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17560 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 32001020131400 its reverse (413102010023), we get a palindrome (32414122141423).

The spelling of 32001020131400 in words is "thirty-two trillion, one billion, twenty million, one hundred thirty-one thousand, four hundred".