242752513440 has 384 divisors, whose sum is σ = 799953960960. Its totient is φ = 61809868800.

The previous prime is 242752513433. The next prime is 242752513499. The reversal of 242752513440 is 44315257242.

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, 498464877 + ... + 498465363.

It is an arithmetic number, because the mean of its divisors is an integer number (2083213440).

Almost surely, 2^242752513440 is an apocalyptic number.

242752513440 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 242752513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399976980480).

242752513440 is an abundant number, since it is smaller than the sum of its proper divisors (557201447520).

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

242752513440 is a wasteful number, since it uses less digits than its factorization.

242752513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 242752513440 in words is "two hundred forty-two billion, seven hundred fifty-two million, five hundred thirteen thousand, four hundred forty".