242553050454400 has 384 divisors, whose sum is σ = 687607168181760. Its totient is φ = 82817969356800.

The previous prime is 242553050454359. The next prime is 242553050454479. The reversal of 242553050454400 is 4454050355242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11607064752 + ... + 11607085648.

It is an arithmetic number, because the mean of its divisors is an integer number (1790643667140).

Almost surely, 2^{242553050454400} is an apocalyptic number.

242553050454400 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 242553050454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343803584090880).

242553050454400 is an abundant number, since it is smaller than the sum of its proper divisors (445054117727360).

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

242553050454400 is a wasteful number, since it uses less digits than its factorization.

242553050454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23042 (or 23025 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 43.

The spelling of 242553050454400 in words is "two hundred forty-two trillion, five hundred fifty-three billion, fifty million, four hundred fifty-four thousand, four hundred".