242409529340160 has 864 divisors, whose sum is σ = 1012039751520000. Its totient is φ = 48922007371776.

The previous prime is 242409529340131. The next prime is 242409529340233. The reversal of 242409529340160 is 61043925904242.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54105466 + ... + 58414214.

It is an arithmetic number, because the mean of its divisors is an integer number (1171342305000).

Almost surely, 2^{242409529340160} is an apocalyptic number.

242409529340160 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 242409529340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506019875760000).

242409529340160 is an abundant number, since it is smaller than the sum of its proper divisors (769630222179840).

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

242409529340160 is a wasteful number, since it uses less digits than its factorization.

242409529340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308823 (or 4308802 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 242409529340160 in words is "two hundred forty-two trillion, four hundred nine billion, five hundred twenty-nine million, three hundred forty thousand, one hundred sixty".