242398425600 has 1080 divisors, whose sum is σ = 939701222460. Its totient is φ = 59578122240.

The previous prime is 242398425559. The next prime is 242398425631. The reversal of 242398425600 is 6524893242.

242398425600 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 9 + 84 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 43938867456 + 198459558144 = 209616^2 + 445488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4573555174 + ... + 4573555226.

Almost surely, 2^242398425600 is an apocalyptic number.

242398425600 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 242398425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469850611230).

242398425600 is an abundant number, since it is smaller than the sum of its proper divisors (697302796860).

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

242398425600 is a wasteful number, since it uses less digits than its factorization.

242398425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 242398425600 in words is "two hundred forty-two billion, three hundred ninety-eight million, four hundred twenty-five thousand, six hundred".