242511025135040 has 112 divisors (see below), whose sum is σ = 583842216290880. Its totient is φ = 95941197619200.

The previous prime is 242511025134971. The next prime is 242511025135117. The reversal of 242511025135040 is 40531520115242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107084 + ... + 22023476.

Almost surely, 2^{242511025135040} is an apocalyptic number.

242511025135040 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 242511025135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291921108145440).

242511025135040 is an abundant number, since it is smaller than the sum of its proper divisors (341331191155840).

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

242511025135040 is a wasteful number, since it uses less digits than its factorization.

242511025135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21916790 (or 21916780 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 242511025135040 in words is "two hundred forty-two trillion, five hundred eleven billion, twenty-five million, one hundred thirty-five thousand, forty".