242334515404800 has 10080 divisors, whose sum is σ = 1271096093393280. Its totient is φ = 44947419955200.

The previous prime is 242334515404699. The next prime is 242334515404801. The reversal of 242334515404800 is 8404515433242.

242334515404800 is a `hidden beast` number, since 2 + 4 + 23 + 3 + 4 + 5 + 1 + 540 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

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

It is not an unprimeable number, because it can be changed into a prime (242334515404801) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3413162188765 + ... + 3413162188835.

It is an arithmetic number, because the mean of its divisors is an integer number (126100802916).

Almost surely, 2^{242334515404800} is an apocalyptic number.

242334515404800 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 242334515404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635548046696640).

242334515404800 is an abundant number, since it is smaller than the sum of its proper divisors (1028761577988480).

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

242334515404800 is a wasteful number, since it uses less digits than its factorization.

242334515404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 242334515404800 in words is "two hundred forty-two trillion, three hundred thirty-four billion, five hundred fifteen million, four hundred four thousand, eight hundred".