242241042960 has 400 divisors, whose sum is σ = 965531166336. Its totient is φ = 55366861824.

The previous prime is 242241042959. The next prime is 242241043019. The reversal of 242241042960 is 69240142242.

242241042960 is a `hidden beast` number, since 2 + 4 + 224 + 1 + 0 + 429 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11011492 + ... + 11033468.

Almost surely, 2^242241042960 is an apocalyptic number.

242241042960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242241042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482765583168).

242241042960 is an abundant number, since it is smaller than the sum of its proper divisors (723290123376).

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

242241042960 is an frugal number, since it uses more digits than its factorization.

242241042960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22024 (or 21994 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 242241042960 in words is "two hundred forty-two billion, two hundred forty-one million, forty-two thousand, nine hundred sixty".