332404440400 has 120 divisors (see below), whose sum is σ = 804004082360. Its totient is φ = 132064542720.

The previous prime is 332404440391. The next prime is 332404440437. The reversal of 332404440400 is 4044404233.

It can be written as a sum of positive squares in 12 ways, for example, as 117783494416 + 214620945984 = 343196^2 + 463272^2 .

It is a super-2 number, since 2×332404440400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54731764 + ... + 54737836.

Almost surely, 2^332404440400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332404440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402002041180).

332404440400 is an abundant number, since it is smaller than the sum of its proper divisors (471599641960).

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

332404440400 is a wasteful number, since it uses less digits than its factorization.

332404440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 332404440400 its reverse (4044404233), we get a palindrome (336448844633).

The spelling of 332404440400 in words is "three hundred thirty-two billion, four hundred four million, four hundred forty thousand, four hundred".