33013414242 has 128 divisors (see below), whose sum is σ = 78700262400. Its totient is φ = 10227368448.

The previous prime is 33013414237. The next prime is 33013414267. The reversal of 33013414242 is 24241431033.

33013414242 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 414 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 19453138 + ... + 19454834.

It is an arithmetic number, because the mean of its divisors is an integer number (614845800).

Almost surely, 2^33013414242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33013414242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39350131200).

33013414242 is an abundant number, since it is smaller than the sum of its proper divisors (45686848158).

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

33013414242 is a wasteful number, since it uses less digits than its factorization.

33013414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33013414242 its reverse (24241431033), we get a palindrome (57254845275).

The spelling of 33013414242 in words is "thirty-three billion, thirteen million, four hundred fourteen thousand, two hundred forty-two".