202130400432 has 160 divisors (see below), whose sum is σ = 570740256000. Its totient is φ = 61398328320.

The previous prime is 202130400383. The next prime is 202130400487. The reversal of 202130400432 is 234004031202.

202130400432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202130400399 and 202130400408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7100307 + ... + 7128717.

It is an arithmetic number, because the mean of its divisors is an integer number (3567126600).

Almost surely, 2^202130400432 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 202130400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285370128000).

202130400432 is an abundant number, since it is smaller than the sum of its proper divisors (368609855568).

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

202130400432 is a wasteful number, since it uses less digits than its factorization.

202130400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28739 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 202130400432 its reverse (234004031202), we get a palindrome (436134431634).

The spelling of 202130400432 in words is "two hundred two billion, one hundred thirty million, four hundred thousand, four hundred thirty-two".