242461900800 has 1428 divisors, whose sum is σ = 1065858886320. Its totient is φ = 53508833280.

The previous prime is 242461900781. The next prime is 242461900873. The reversal of 242461900800 is 8009164242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8360755186 + ... + 8360755214.

Almost surely, 2^242461900800 is an apocalyptic number.

242461900800 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 242461900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532929443160).

242461900800 is an abundant number, since it is smaller than the sum of its proper divisors (823396985520).

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

242461900800 is an frugal number, since it uses more digits than its factorization.

242461900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 242461900800 in words is "two hundred forty-two billion, four hundred sixty-one million, nine hundred thousand, eight hundred".