242809480800 has 432 divisors, whose sum is σ = 887985352800. Its totient is φ = 62380523520.

The previous prime is 242809480789. The next prime is 242809480813. The reversal of 242809480800 is 8084908242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27434776 + ... + 27443624.

It is an arithmetic number, because the mean of its divisors is an integer number (2055521650).

Almost surely, 2^242809480800 is an apocalyptic number.

242809480800 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 242809480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443992676400).

242809480800 is an abundant number, since it is smaller than the sum of its proper divisors (645175872000).

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

242809480800 is a wasteful number, since it uses less digits than its factorization.

242809480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015 (or 8999 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 242809480800 in words is "two hundred forty-two billion, eight hundred nine million, four hundred eighty thousand, eight hundred".