33364412426032 has 80 divisors (see below), whose sum is σ = 67008426186240. Its totient is φ = 16074269680896.

The previous prime is 33364412425973. The next prime is 33364412426041. The reversal of 33364412426032 is 23062421446333.

It is a super-2 number, since 2×33364412426032² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33364412426032.

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, 910507903 + ... + 910544545.

It is an arithmetic number, because the mean of its divisors is an integer number (837605327328).

Almost surely, 2^{33364412426032} 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 33364412426032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33504213093120).

33364412426032 is an abundant number, since it is smaller than the sum of its proper divisors (33644013760208).

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

33364412426032 is a wasteful number, since it uses less digits than its factorization.

33364412426032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40610 (or 40604 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 43.

The spelling of 33364412426032 in words is "thirty-three trillion, three hundred sixty-four billion, four hundred twelve million, four hundred twenty-six thousand, thirty-two".