33142122400 has 36 divisors (see below), whose sum is σ = 80908208262. Its totient is φ = 13256848640.

The previous prime is 33142122367. The next prime is 33142122407. The reversal of 33142122400 is 422124133.

It can be written as a sum of positive squares in 3 ways, for example, as 16467048976 + 16675073424 = 128324^2 + 129132^2 .

It is not an unprimeable number, because it can be changed into a prime (33142122407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20713027 + ... + 20714626.

Almost surely, 2^33142122400 is an apocalyptic number.

It is an amenable number.

33142122400 is an abundant number, since it is smaller than the sum of its proper divisors (47766085862).

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

33142122400 is a wasteful number, since it uses less digits than its factorization.

33142122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41427673 (or 41427660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 33142122400 its reverse (422124133), we get a palindrome (33564246533).

The spelling of 33142122400 in words is "thirty-three billion, one hundred forty-two million, one hundred twenty-two thousand, four hundred".