242408476114560 has 1728 divisors, whose sum is σ = 1012512005612640. Its totient is φ = 53281629757440.

The previous prime is 242408476114517. The next prime is 242408476114643. The reversal of 242408476114560 is 65411674804242.

242408476114560 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 0 + 8 + 4 + 7 + 61 + 14 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242408476114497 and 242408476114506.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44210917579 + ... + 44210923061.

Almost surely, 2^{242408476114560} is an apocalyptic number.

242408476114560 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 242408476114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506256002806320).

242408476114560 is an abundant number, since it is smaller than the sum of its proper divisors (770103529498080).

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

242408476114560 is a wasteful number, since it uses less digits than its factorization.

242408476114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 242408476114560 in words is "two hundred forty-two trillion, four hundred eight billion, four hundred seventy-six million, one hundred fourteen thousand, five hundred sixty".