33413290560 has 1120 divisors, whose sum is σ = 143127008640. Its totient is φ = 7309688832.

The previous prime is 33413290553. The next prime is 33413290571. The reversal of 33413290560 is 6509231433.

It is a happy number.

33413290560 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 3 + 2 + 90 + 560 = 666.

It is a super-2 number, since 2×33413290560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108837927 + ... + 108838233.

It is an arithmetic number, because the mean of its divisors is an integer number (127791972).

Almost surely, 2^33413290560 is an apocalyptic number.

33413290560 is a gapful number since it is divisible by the number (30) 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 33413290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71563504320).

33413290560 is an abundant number, since it is smaller than the sum of its proper divisors (109713718080).

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

33413290560 is a wasteful number, since it uses less digits than its factorization.

33413290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 33413290560 in words is "thirty-three billion, four hundred thirteen million, two hundred ninety thousand, five hundred sixty".