332051042400 has 576 divisors, whose sum is σ = 1359533984256. Its totient is φ = 68382720000.

The previous prime is 332051042381. The next prime is 332051042413. The reversal of 332051042400 is 4240150233.

It is a super-2 number, since 2×332051042400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20874450 + ... + 20890350.

It is an arithmetic number, because the mean of its divisors is an integer number (2360302056).

Almost surely, 2^332051042400 is an apocalyptic number.

332051042400 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 332051042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679766992128).

332051042400 is an abundant number, since it is smaller than the sum of its proper divisors (1027482941856).

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

332051042400 is a wasteful number, since it uses less digits than its factorization.

332051042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16055 (or 16042 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 332051042400 its reverse (4240150233), we get a palindrome (336291192633).

The spelling of 332051042400 in words is "three hundred thirty-two billion, fifty-one million, forty-two thousand, four hundred".