242010001412140 has 96 divisors (see below), whose sum is σ = 551656033568640. Its totient is φ = 88650326016000.

The previous prime is 242010001412129. The next prime is 242010001412147. The reversal of 242010001412140 is 41214100010242.

It is not an unprimeable number, because it can be changed into a prime (242010001412147) 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, 26182950 + ... + 34198930.

It is an arithmetic number, because the mean of its divisors is an integer number (5746417016340).

Almost surely, 2^{242010001412140} is an apocalyptic number.

242010001412140 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 242010001412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275828016784320).

242010001412140 is an abundant number, since it is smaller than the sum of its proper divisors (309646032156500).

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

242010001412140 is a wasteful number, since it uses less digits than its factorization.

242010001412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016923 (or 8016921 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 242010001412140 its reverse (41214100010242), we get a palindrome (283224101422382).

The spelling of 242010001412140 in words is "two hundred forty-two trillion, ten billion, one million, four hundred twelve thousand, one hundred forty".