332050406100 has 432 divisors, whose sum is σ = 1163654146368. Its totient is φ = 72825661440.

The previous prime is 332050406033. The next prime is 332050406101. The reversal of 332050406100 is 1604050233.

It is a happy number.

It is a super-2 number, since 2×332050406100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332050406101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 39700519 + ... + 39708881.

Almost surely, 2^332050406100 is an apocalyptic number.

332050406100 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 332050406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581827073184).

332050406100 is an abundant number, since it is smaller than the sum of its proper divisors (831603740268).

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

332050406100 is a wasteful number, since it uses less digits than its factorization.

332050406100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 332050406100 its reverse (1604050233), we get a palindrome (333654456333).

The spelling of 332050406100 in words is "three hundred thirty-two billion, fifty million, four hundred six thousand, one hundred".