242795460096000 has 7488 divisors, whose sum is σ = 1185224198086656. Its totient is φ = 48349052928000.

The previous prime is 242795460095989. The next prime is 242795460096043. The reversal of 242795460096000 is 690064597242.

242795460096000 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 9 + 546 + 0 + 0 + 96 + 0 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 7832111615985 + ... + 7832111616015.

It is an arithmetic number, because the mean of its divisors is an integer number (158283146112).

Almost surely, 2^{242795460096000} is an apocalyptic number.

242795460096000 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 242795460096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592612099043328).

242795460096000 is an abundant number, since it is smaller than the sum of its proper divisors (942428737990656).

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

242795460096000 is an equidigital number, since it uses as much as digits as its factorization.

242795460096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 242795460096000 in words is "two hundred forty-two trillion, seven hundred ninety-five billion, four hundred sixty million, ninety-six thousand".