242339161478400 has 3456 divisors, whose sum is σ = 1076684737766400. Its totient is φ = 52171112448000.

The previous prime is 242339161478383. The next prime is 242339161478417. The reversal of 242339161478400 is 4874161933242.

242339161478400 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 9 + 161 + 4 + 78 + 400 = 666.

242339161478400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242339161478383) and next prime (242339161478417).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 258633042732 + ... + 258633043668.

Almost surely, 2^{242339161478400} is an apocalyptic number.

242339161478400 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 242339161478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538342368883200).

242339161478400 is an abundant number, since it is smaller than the sum of its proper divisors (834345576288000).

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

242339161478400 is a wasteful number, since it uses less digits than its factorization.

242339161478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 242339161478400 in words is "two hundred forty-two trillion, three hundred thirty-nine billion, one hundred sixty-one million, four hundred seventy-eight thousand, four hundred".