242386042032 has 240 divisors, whose sum is σ = 712618000640. Its totient is φ = 79749847296.

The previous prime is 242386041983. The next prime is 242386042037. The reversal of 242386042032 is 230240683242.

242386042032 is a `hidden beast` number, since 2 + 4 + 23 + 8 + 604 + 20 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (242386042037) 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, 151775058 + ... + 151776654.

Almost surely, 2^242386042032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242386042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356309000320).

242386042032 is an abundant number, since it is smaller than the sum of its proper divisors (470231958608).

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

242386042032 is a wasteful number, since it uses less digits than its factorization.

242386042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 242386042032 in words is "two hundred forty-two billion, three hundred eighty-six million, forty-two thousand, thirty-two".