242618058432 has 392 divisors, whose sum is σ = 771347185776. Its totient is φ = 75414011904.

The previous prime is 242618058341. The next prime is 242618058437. The reversal of 242618058432 is 234850816242.

242618058432 is a `hidden beast` number, since 2 + 4 + 2 + 61 + 8 + 0 + 584 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (242618058437) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 89624823 + ... + 89627529.

Almost surely, 2^242618058432 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 242618058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385673592888).

242618058432 is an abundant number, since it is smaller than the sum of its proper divisors (528729127344).

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

242618058432 is a wasteful number, since it uses less digits than its factorization.

242618058432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 242618058432 in words is "two hundred forty-two billion, six hundred eighteen million, fifty-eight thousand, four hundred thirty-two".