33400224000 has 864 divisors, whose sum is σ = 141368992128. Its totient is φ = 7464960000.

The previous prime is 33400223963. The next prime is 33400224001. The reversal of 33400224000 is 42200433.

It is a super-2 number, since 2×33400224000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33400224001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41183595 + ... + 41184405.

Almost surely, 2^33400224000 is an apocalyptic number.

33400224000 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 33400224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70684496064).

33400224000 is an abundant number, since it is smaller than the sum of its proper divisors (107968768128).

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

33400224000 is a wasteful number, since it uses less digits than its factorization.

33400224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 33400224000 its reverse (42200433), we get a palindrome (33442424433).

The spelling of 33400224000 in words is "thirty-three billion, four hundred million, two hundred twenty-four thousand".