242807127360 has 224 divisors, whose sum is σ = 895977400320. Its totient is φ = 54558025728.

The previous prime is 242807127347. The next prime is 242807127389. The reversal of 242807127360 is 63721708242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90277 + ... + 702683.

Almost surely, 2^242807127360 is an apocalyptic number.

242807127360 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 242807127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447988700160).

242807127360 is an abundant number, since it is smaller than the sum of its proper divisors (653170272960).

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

242807127360 is a wasteful number, since it uses less digits than its factorization.

242807127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612493 (or 612483 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 242807127360 in words is "two hundred forty-two billion, eight hundred seven million, one hundred twenty-seven thousand, three hundred sixty".