33021422400 has 336 divisors, whose sum is σ = 114978037760. Its totient is φ = 8273664000.

The previous prime is 33021422393. The next prime is 33021422459. The reversal of 33021422400 is 422412033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11580975 + ... + 11583825.

Almost surely, 2^33021422400 is an apocalyptic number.

33021422400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33021422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57489018880).

33021422400 is an abundant number, since it is smaller than the sum of its proper divisors (81956615360).

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

33021422400 is a wasteful number, since it uses less digits than its factorization.

33021422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 33021422400 its reverse (422412033), we get a palindrome (33443834433).

The spelling of 33021422400 in words is "thirty-three billion, twenty-one million, four hundred twenty-two thousand, four hundred".