242643340800 has 1200 divisors, whose sum is σ = 1043738256000. Its totient is φ = 54524067840.

The previous prime is 242643340799. The next prime is 242643340801. The reversal of 242643340800 is 8043346242.

242643340800 is a `hidden beast` number, since 2 + 4 + 2 + 643 + 3 + 4 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (242643340799) and next prime (242643340801).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242643340801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 486258951 + ... + 486259449.

It is an arithmetic number, because the mean of its divisors is an integer number (869781880).

Almost surely, 2^242643340800 is an apocalyptic number.

242643340800 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 242643340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521869128000).

242643340800 is an abundant number, since it is smaller than the sum of its proper divisors (801094915200).

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

242643340800 is an equidigital number, since it uses as much as digits as its factorization.

242643340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 242643340800 in words is "two hundred forty-two billion, six hundred forty-three million, three hundred forty thousand, eight hundred".