332320922400 has 144 divisors (see below), whose sum is σ = 1081918252800. Its totient is φ = 88601410560.

The previous prime is 332320922393. The next prime is 332320922407. The reversal of 332320922400 is 4229023233.

It is an interprime number because it is at equal distance from previous prime (332320922393) and next prime (332320922407).

It is a super-2 number, since 2×332320922400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (332320922407) 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 23 ways as a sum of consecutive naturals, for example, 16091281 + ... + 16111919.

It is an arithmetic number, because the mean of its divisors is an integer number (7513321200).

Almost surely, 2^332320922400 is an apocalyptic number.

332320922400 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 332320922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540959126400).

332320922400 is an abundant number, since it is smaller than the sum of its proper divisors (749597330400).

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

332320922400 is a wasteful number, since it uses less digits than its factorization.

332320922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27371 (or 27358 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 332320922400 its reverse (4229023233), we get a palindrome (336549945633).

The spelling of 332320922400 in words is "three hundred thirty-two billion, three hundred twenty million, nine hundred twenty-two thousand, four hundred".