33328368396400 has 1440 divisors, whose sum is σ = 106974401200128. Its totient is φ = 9886065638400.

The previous prime is 33328368396359. The next prime is 33328368396469. The reversal of 33328368396400 is 469386382333.

33328368396400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33328368396400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149454566689 + ... + 149454566911.

Almost surely, 2^{33328368396400} 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 33328368396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487200600064).

33328368396400 is an abundant number, since it is smaller than the sum of its proper divisors (73646032803728).

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

33328368396400 is a wasteful number, since it uses less digits than its factorization.

33328368396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 58.

The spelling of 33328368396400 in words is "thirty-three trillion, three hundred twenty-eight billion, three hundred sixty-eight million, three hundred ninety-six thousand, four hundred".