242432640576 has 448 divisors, whose sum is σ = 824444497920. Its totient is φ = 68428800000.

The previous prime is 242432640557. The next prime is 242432640599. The reversal of 242432640576 is 675046234242.

242432640576 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 32 + 6 + 40 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×242432640576² (a number of 24 digits) contains 22 as substring.

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, 604569976 + ... + 604570376.

Almost surely, 2^242432640576 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 242432640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412222248960).

242432640576 is an abundant number, since it is smaller than the sum of its proper divisors (582011857344).

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

242432640576 is a wasteful number, since it uses less digits than its factorization.

242432640576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 242432640576 in words is "two hundred forty-two billion, four hundred thirty-two million, six hundred forty thousand, five hundred seventy-six".