33020004400 has 120 divisors (see below), whose sum is σ = 84103567920. Its totient is φ = 12415303680.

The previous prime is 33020004379. The next prime is 33020004421. The reversal of 33020004400 is 440002033.

It is an interprime number because it is at equal distance from previous prime (33020004379) and next prime (33020004421).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6314587 + ... + 6319813.

It is an arithmetic number, because the mean of its divisors is an integer number (700863066).

Almost surely, 2^33020004400 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 33020004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42051783960).

33020004400 is an abundant number, since it is smaller than the sum of its proper divisors (51083563520).

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

33020004400 is a wasteful number, since it uses less digits than its factorization.

33020004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 33020004400 its reverse (440002033), we get a palindrome (33460006433).

The spelling of 33020004400 in words is "thirty-three billion, twenty million, four thousand, four hundred".