33505412490 has 96 divisors (see below), whose sum is σ = 95121314496. Its totient is φ = 8115022080.

The previous prime is 33505412483. The next prime is 33505412491. The reversal of 33505412490 is 9421450533.

33505412490 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 541 + 24 + 90 = 666.

It is a super-2 number, since 2×33505412490² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33505412491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096702 + ... + 1126838.

It is an arithmetic number, because the mean of its divisors is an integer number (990847026).

Almost surely, 2^33505412490 is an apocalyptic number.

33505412490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33505412490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47560657248).

33505412490 is an abundant number, since it is smaller than the sum of its proper divisors (61615902006).

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

33505412490 is a wasteful number, since it uses less digits than its factorization.

33505412490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31284 (or 31281 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 33505412490 in words is "thirty-three billion, five hundred five million, four hundred twelve thousand, four hundred ninety".