242400166300240 has 160 divisors (see below), whose sum is σ = 613783701891360. Its totient is φ = 88491420745728.

The previous prime is 242400166300219. The next prime is 242400166300241. The reversal of 242400166300240 is 42003661004242.

It can be written as a sum of positive squares in 16 ways, for example, as 96832370038336 + 145567796261904 = 9840344^2 + 12065148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242400166300196 and 242400166300205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242400166300241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2187415074 + ... + 2187525886.

It is an arithmetic number, because the mean of its divisors is an integer number (3836148136821).

Almost surely, 2^{242400166300240} is an apocalyptic number.

242400166300240 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 242400166300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306891850945680).

242400166300240 is an abundant number, since it is smaller than the sum of its proper divisors (371383535591120).

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

242400166300240 is a wasteful number, since it uses less digits than its factorization.

242400166300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134561 (or 134555 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 242400166300240 in words is "two hundred forty-two trillion, four hundred billion, one hundred sixty-six million, three hundred thousand, two hundred forty".