332201440400100 has 144 divisors (see below), whose sum is σ = 985301733736320. Its totient is φ = 86365906099200.

The previous prime is 332201440400099. The next prime is 332201440400213. The reversal of 332201440400100 is 1004044102233.

It is a super-2 number, since 2×332201440400100² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8126649 + ... + 27026751.

Almost surely, 2^{332201440400100} is an apocalyptic number.

332201440400100 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 332201440400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492650866868160).

332201440400100 is an abundant number, since it is smaller than the sum of its proper divisors (653100293336220).

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

332201440400100 is a wasteful number, since it uses less digits than its factorization.

332201440400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18901590 (or 18901583 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 332201440400100 its reverse (1004044102233), we get a palindrome (333205484502333).

The spelling of 332201440400100 in words is "three hundred thirty-two trillion, two hundred one billion, four hundred forty million, four hundred thousand, one hundred".