242411000427888 has 160 divisors (see below), whose sum is σ = 653970458211840. Its totient is φ = 77229606727680.

The previous prime is 242411000427833. The next prime is 242411000427929. The reversal of 242411000427888 is 888724000114242.

It is a super-2 number, since 2×242411000427888² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242411000427888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8898741948 + ... + 8898769188.

It is an arithmetic number, because the mean of its divisors is an integer number (4087315363824).

Almost surely, 2^{242411000427888} 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 242411000427888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326985229105920).

242411000427888 is an abundant number, since it is smaller than the sum of its proper divisors (411559457783952).

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

242411000427888 is a wasteful number, since it uses less digits than its factorization.

242411000427888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33327 (or 33321 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 51.

The spelling of 242411000427888 in words is "two hundred forty-two trillion, four hundred eleven billion, four hundred twenty-seven thousand, eight hundred eighty-eight".