242957449728 has 480 divisors, whose sum is σ = 857945088000. Its totient is φ = 67169710080.

The previous prime is 242957449703. The next prime is 242957449729. The reversal of 242957449728 is 827944759242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (242957449729) 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, 26993773 + ... + 27002771.

It is an arithmetic number, because the mean of its divisors is an integer number (1787385600).

Almost surely, 2^242957449728 is an apocalyptic number.

242957449728 is a gapful number since it is divisible by the number (28) 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 242957449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544000).

242957449728 is an abundant number, since it is smaller than the sum of its proper divisors (614987638272).

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

242957449728 is an frugal number, since it uses more digits than its factorization.

242957449728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9070 (or 9042 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 242957449728 in words is "two hundred forty-two billion, nine hundred fifty-seven million, four hundred forty-nine thousand, seven hundred twenty-eight".