742353842034 has 256 divisors, whose sum is σ = 2001243340800. Its totient is φ = 199470636288.

The previous prime is 742353841993. The next prime is 742353842053. The reversal of 742353842034 is 430248353247.

742353842034 is a `hidden beast` number, since 7 + 4 + 235 + 384 + 2 + 0 + 34 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187130319 + ... + 187134285.

It is an arithmetic number, because the mean of its divisors is an integer number (7817356800).

Almost surely, 2^742353842034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742353842034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000621670400).

742353842034 is an abundant number, since it is smaller than the sum of its proper divisors (1258889498766).

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

742353842034 is a wasteful number, since it uses less digits than its factorization.

742353842034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 742353842034 in words is "seven hundred forty-two billion, three hundred fifty-three million, eight hundred forty-two thousand, thirty-four".