33440030400 has 672 divisors, whose sum is σ = 134802880000. Its totient is φ = 7234375680.

The previous prime is 33440030347. The next prime is 33440030417. The reversal of 33440030400 is 403004433.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×33440030400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31281066 + ... + 31282134.

Almost surely, 2^33440030400 is an apocalyptic number.

33440030400 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 33440030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67401440000).

33440030400 is an abundant number, since it is smaller than the sum of its proper divisors (101362849600).

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

33440030400 is a wasteful number, since it uses less digits than its factorization.

33440030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 33440030400 its reverse (403004433), we get a palindrome (33843034833).

The spelling of 33440030400 in words is "thirty-three billion, four hundred forty million, thirty thousand, four hundred".