242127741024 has 384 divisors, whose sum is σ = 802588953600. Its totient is φ = 70454292480.

The previous prime is 242127740999. The next prime is 242127741041. The reversal of 242127741024 is 420147721242.

242127741024 is a `hidden beast` number, since 2 + 4 + 212 + 7 + 7 + 410 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242127741024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22986639 + ... + 22997169.

It is an arithmetic number, because the mean of its divisors is an integer number (2090075400).

Almost surely, 2^242127741024 is an apocalyptic number.

242127741024 is a gapful number since it is divisible by the number (24) 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 242127741024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401294476800).

242127741024 is an abundant number, since it is smaller than the sum of its proper divisors (560461212576).

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

242127741024 is a wasteful number, since it uses less digits than its factorization.

242127741024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10675 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 242127741024 in words is "two hundred forty-two billion, one hundred twenty-seven million, seven hundred forty-one thousand, twenty-four".