242805094408800 has 3456 divisors, whose sum is σ = 1180964413440000. Its totient is φ = 46983487795200.

The previous prime is 242805094408783. The next prime is 242805094408847. The reversal of 242805094408800 is 8804490508242.

242805094408800 is a `hidden beast` number, since 2 + 4 + 28 + 0 + 50 + 94 + 408 + 80 + 0 = 666.

It is a super-4 number, since 4×242805094408800⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20508913281 + ... + 20508925119.

It is an arithmetic number, because the mean of its divisors is an integer number (341714240000).

Almost surely, 2^{242805094408800} is an apocalyptic number.

242805094408800 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 242805094408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590482206720000).

242805094408800 is an abundant number, since it is smaller than the sum of its proper divisors (938159319031200).

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

242805094408800 is a wasteful number, since it uses less digits than its factorization.

242805094408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 242805094408800 in words is "two hundred forty-two trillion, eight hundred five billion, ninety-four million, four hundred eight thousand, eight hundred".