33140402304 has 128 divisors (see below), whose sum is σ = 89129134080. Its totient is φ = 10909286400.

The previous prime is 33140402291. The next prime is 33140402417. The reversal of 33140402304 is 40320404133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28792129 + ... + 28793279.

It is an arithmetic number, because the mean of its divisors is an integer number (696321360).

Almost surely, 2^33140402304 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 33140402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44564567040).

33140402304 is an abundant number, since it is smaller than the sum of its proper divisors (55988731776).

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

33140402304 is a wasteful number, since it uses less digits than its factorization.

33140402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33140402304 its reverse (40320404133), we get a palindrome (73460806437).

The spelling of 33140402304 in words is "thirty-three billion, one hundred forty million, four hundred two thousand, three hundred four".