33001023221400 has 768 divisors, whose sum is σ = 113652285788160. Its totient is φ = 7869789388800.

The previous prime is 33001023221381. The next prime is 33001023221401. The reversal of 33001023221400 is 412232010033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33001023221401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37205211757 + ... + 37205212643.

It is an arithmetic number, because the mean of its divisors is an integer number (147984747120).

Almost surely, 2^{33001023221400} is an apocalyptic number.

33001023221400 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 33001023221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56826142894080).

33001023221400 is an abundant number, since it is smaller than the sum of its proper divisors (80651262566760).

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

33001023221400 is a wasteful number, since it uses less digits than its factorization.

33001023221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33001023221400 its reverse (412232010033), we get a palindrome (33413255231433).

The spelling of 33001023221400 in words is "thirty-three trillion, one billion, twenty-three million, two hundred twenty-one thousand, four hundred".