242832799372800 has 3840 divisors, whose sum is σ = 1082401121894400. Its totient is φ = 46552684953600.

The previous prime is 242832799372783. The next prime is 242832799372853. The reversal of 242832799372800 is 8273997238242.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 261391602736 + ... + 261391603664.

It is an arithmetic number, because the mean of its divisors is an integer number (281875292160).

Almost surely, 2^{242832799372800} is an apocalyptic number.

242832799372800 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 242832799372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541200560947200).

242832799372800 is an abundant number, since it is smaller than the sum of its proper divisors (839568322521600).

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

242832799372800 is a wasteful number, since it uses less digits than its factorization.

242832799372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 242832799372800 in words is "two hundred forty-two trillion, eight hundred thirty-two billion, seven hundred ninety-nine million, three hundred seventy-two thousand, eight hundred".