242866937702400 has 2592 divisors, whose sum is σ = 930653569984320. Its totient is φ = 55786536960000.

The previous prime is 242866937702393. The next prime is 242866937702449. The reversal of 242866937702400 is 4207739668242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 3420661094365 + ... + 3420661094435.

It is an arithmetic number, because the mean of its divisors is an integer number (359048445210).

Almost surely, 2^{242866937702400} is an apocalyptic number.

242866937702400 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 242866937702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465326784992160).

242866937702400 is an abundant number, since it is smaller than the sum of its proper divisors (687786632281920).

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

242866937702400 is a wasteful number, since it uses less digits than its factorization.

242866937702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 242866937702400 in words is "two hundred forty-two trillion, eight hundred sixty-six billion, nine hundred thirty-seven million, seven hundred two thousand, four hundred".