33213310400 has 84 divisors (see below), whose sum is σ = 81813001728. Its totient is φ = 13271101440.

The previous prime is 33213310399. The next prime is 33213310433. The reversal of 33213310400 is 401331233.

It is a super-2 number, since 2×33213310400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552577 + ... + 1573823.

Almost surely, 2^33213310400 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 33213310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40906500864).

33213310400 is an abundant number, since it is smaller than the sum of its proper divisors (48599691328).

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

33213310400 is a wasteful number, since it uses less digits than its factorization.

33213310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33213310400 its reverse (401331233), we get a palindrome (33614641633).

The spelling of 33213310400 in words is "thirty-three billion, two hundred thirteen million, three hundred ten thousand, four hundred".