33404918400 has 1728 divisors, whose sum is σ = 157866770880. Its totient is φ = 6808043520.

The previous prime is 33404918399. The next prime is 33404918413. The reversal of 33404918400 is 481940433.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×33404918400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1758153591 + ... + 1758153609.

It is an arithmetic number, because the mean of its divisors is an integer number (91358085).

Almost surely, 2^33404918400 is an apocalyptic number.

33404918400 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 33404918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78933385440).

33404918400 is an abundant number, since it is smaller than the sum of its proper divisors (124461852480).

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

33404918400 is a wasteful number, since it uses less digits than its factorization.

33404918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 33404918400 in words is "thirty-three billion, four hundred four million, nine hundred eighteen thousand, four hundred".