242154878400 has 840 divisors, whose sum is σ = 959156506880. Its totient is φ = 59727144960.

The previous prime is 242154878321. The next prime is 242154878423. The reversal of 242154878400 is 4878451242.

242154878400 is a `hidden beast` number, since 2 + 4 + 21 + 548 + 7 + 84 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 105882057 + ... + 105884343.

Almost surely, 2^242154878400 is an apocalyptic number.

242154878400 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 242154878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479578253440).

242154878400 is an abundant number, since it is smaller than the sum of its proper divisors (717001628480).

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

242154878400 is a wasteful number, since it uses less digits than its factorization.

242154878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 242154878400 in words is "two hundred forty-two billion, one hundred fifty-four million, eight hundred seventy-eight thousand, four hundred".