332004100434400 has 72 divisors (see below), whose sum is σ = 810517686907320. Its totient is φ = 132799563087360.

The previous prime is 332004100434343. The next prime is 332004100434403. The reversal of 332004100434400 is 4434001400233.

It is a super-2 number, since 2×332004100434400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332004100434403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48450042 + ... + 54876358.

It is an arithmetic number, because the mean of its divisors is an integer number (11257190095935).

Almost surely, 2^{332004100434400} is an apocalyptic number.

It is an amenable number.

332004100434400 is an abundant number, since it is smaller than the sum of its proper divisors (478513586472920).

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

332004100434400 is a wasteful number, since it uses less digits than its factorization.

332004100434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490916 (or 6490903 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 332004100434400 its reverse (4434001400233), we get a palindrome (336438101834633).

The spelling of 332004100434400 in words is "three hundred thirty-two trillion, four billion, one hundred million, four hundred thirty-four thousand, four hundred".