42092984934 has 256 divisors, whose sum is σ = 126371266560. Its totient is φ = 10029640320.

The previous prime is 42092984909. The next prime is 42092985019. The reversal of 42092984934 is 43948929024.

42092984934 is a `hidden beast` number, since 420 + 92 + 98 + 49 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9024687 + ... + 9029349.

It is an arithmetic number, because the mean of its divisors is an integer number (493637760).

Almost surely, 2^42092984934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42092984934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63185633280).

42092984934 is an abundant number, since it is smaller than the sum of its proper divisors (84278281626).

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

42092984934 is a wasteful number, since it uses less digits than its factorization.

42092984934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 42092984934 in words is "forty-two billion, ninety-two million, nine hundred eighty-four thousand, nine hundred thirty-four".