242913409872 has 240 divisors, whose sum is σ = 744195261312. Its totient is φ = 68062740480.

The previous prime is 242913409813. The next prime is 242913409873. The reversal of 242913409872 is 278904319242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242913409873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32225688 + ... + 32233224.

Almost surely, 2^242913409872 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 242913409872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372097630656).

242913409872 is an abundant number, since it is smaller than the sum of its proper divisors (501281851440).

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

242913409872 is a wasteful number, since it uses less digits than its factorization.

242913409872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 242913409872 in words is "two hundred forty-two billion, nine hundred thirteen million, four hundred nine thousand, eight hundred seventy-two".