202432104413000 has 768 divisors, whose sum is σ = 608855072716800. Its totient is φ = 62289259200000.

The previous prime is 202432104412981. The next prime is 202432104413017. The reversal of 202432104413000 is 314401234202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13266399371 + ... + 13266414629.

It is an arithmetic number, because the mean of its divisors is an integer number (792780042600).

Almost surely, 2^{202432104413000} is an apocalyptic number.

202432104413000 is a gapful number since it is divisible by the number (20) 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 202432104413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304427536358400).

202432104413000 is an abundant number, since it is smaller than the sum of its proper divisors (406422968303800).

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

202432104413000 is a wasteful number, since it uses less digits than its factorization.

202432104413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 202432104413000 its reverse (314401234202), we get a palindrome (202746505647202).

The spelling of 202432104413000 in words is "two hundred two trillion, four hundred thirty-two billion, one hundred four million, four hundred thirteen thousand".