242442200160 has 144 divisors (see below), whose sum is σ = 828012144960. Its totient is φ = 64598261760.

The previous prime is 242442200159. The next prime is 242442200233. The reversal of 242442200160 is 61002244242.

242442200160 is a `hidden beast` number, since 2 + 4 + 2 + 442 + 200 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704256 + ... + 1841024.

It is an arithmetic number, because the mean of its divisors is an integer number (5750084340).

Almost surely, 2^242442200160 is an apocalyptic number.

242442200160 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 242442200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414006072480).

242442200160 is an abundant number, since it is smaller than the sum of its proper divisors (585569944800).

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

242442200160 is a wasteful number, since it uses less digits than its factorization.

242442200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138021 (or 138010 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 242442200160 in words is "two hundred forty-two billion, four hundred forty-two million, two hundred thousand, one hundred sixty".