33121840400 has 120 divisors (see below), whose sum is σ = 86888822688. Its totient is φ = 12033280000.

The previous prime is 33121840363. The next prime is 33121840429. The reversal of 33121840400 is 404812133.

It is a super-2 number, since 2×33121840400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33121840400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5985635 + ... + 5991165.

Almost surely, 2^33121840400 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 33121840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43444411344).

33121840400 is an abundant number, since it is smaller than the sum of its proper divisors (53766982288).

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

33121840400 is a wasteful number, since it uses less digits than its factorization.

33121840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 33121840400 in words is "thirty-three billion, one hundred twenty-one million, eight hundred forty thousand, four hundred".