33142033792 has 128 divisors (see below), whose sum is σ = 80059392000. Its totient is φ = 13349339136.

The previous prime is 33142033787. The next prime is 33142033819. The reversal of 33142033792 is 29733024133.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154384 + ... + 2169712.

It is an arithmetic number, because the mean of its divisors is an integer number (625464000).

Almost surely, 2^33142033792 is an apocalyptic number.

33142033792 is a gapful number since it is divisible by the number (32) 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 33142033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40029696000).

33142033792 is an abundant number, since it is smaller than the sum of its proper divisors (46917358208).

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

33142033792 is a wasteful number, since it uses less digits than its factorization.

33142033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15496 (or 15484 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 37.

The spelling of 33142033792 in words is "thirty-three billion, one hundred forty-two million, thirty-three thousand, seven hundred ninety-two".