33342112400 has 30 divisors (see below), whose sum is σ = 80104426002. Its totient is φ = 13336844800.

The previous prime is 33342112379. The next prime is 33342112411. The reversal of 33342112400 is 421124333.

It can be written as a sum of positive squares in 3 ways, for example, as 576768256 + 32765344144 = 24016^2 + 181012^2 .

It is a super-2 number, since 2×33342112400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41677241 + ... + 41678040.

Almost surely, 2^33342112400 is an apocalyptic number.

It is an amenable number.

33342112400 is an abundant number, since it is smaller than the sum of its proper divisors (46762313602).

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

33342112400 is a wasteful number, since it uses less digits than its factorization.

33342112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83355299 (or 83355288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 33342112400 its reverse (421124333), we get a palindrome (33763236733).

The spelling of 33342112400 in words is "thirty-three billion, three hundred forty-two million, one hundred twelve thousand, four hundred".