33401090624 has 112 divisors (see below), whose sum is σ = 73284039360. Its totient is φ = 14978365440.

The previous prime is 33401090573. The next prime is 33401090633. The reversal of 33401090624 is 42609010433.

It is a super-2 number, since 2×33401090624² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16928102 + ... + 16930074.

It is an arithmetic number, because the mean of its divisors is an integer number (654321780).

Almost surely, 2^33401090624 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 33401090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36642019680).

33401090624 is an abundant number, since it is smaller than the sum of its proper divisors (39882948736).

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

33401090624 is a wasteful number, since it uses less digits than its factorization.

33401090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 33401090624 in words is "thirty-three billion, four hundred one million, ninety thousand, six hundred twenty-four".