33142258720 has 96 divisors (see below), whose sum is σ = 81032749056. Its totient is φ = 12796185600.

The previous prime is 33142258711. The next prime is 33142258739. The reversal of 33142258720 is 2785224133.

It is a self number, because there is not a number n which added to its sum of digits gives 33142258720.

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, 1960705 + ... + 1977535.

It is an arithmetic number, because the mean of its divisors is an integer number (844091136).

Almost surely, 2^33142258720 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 33142258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40516374528).

33142258720 is an abundant number, since it is smaller than the sum of its proper divisors (47890490336).

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

33142258720 is a wasteful number, since it uses less digits than its factorization.

33142258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17274 (or 17266 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 33142258720 in words is "thirty-three billion, one hundred forty-two million, two hundred fifty-eight thousand, seven hundred twenty".