33001022400 has 336 divisors, whose sum is σ = 111887776224. Its totient is φ = 8511160320.

The previous prime is 33001022393. The next prime is 33001022429. The reversal of 33001022400 is 422010033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33001022400.

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, 18570312 + ... + 18572088.

It is an arithmetic number, because the mean of its divisors is an integer number (332999334).

Almost surely, 2^33001022400 is an apocalyptic number.

33001022400 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 33001022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55943888112).

33001022400 is an abundant number, since it is smaller than the sum of its proper divisors (78886753824).

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

33001022400 is a wasteful number, since it uses less digits than its factorization.

33001022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 33001022400 its reverse (422010033), we get a palindrome (33423032433).

The spelling of 33001022400 in words is "thirty-three billion, one million, twenty-two thousand, four hundred".