2412142242144 has 48 divisors (see below), whose sum is σ = 6439193288640. Its totient is φ = 790419489920.

The previous prime is 2412142242143. The next prime is 2412142242161. The reversal of 2412142242144 is 4412422412142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412142242143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212930622 + ... + 212941949.

It is an arithmetic number, because the mean of its divisors is an integer number (134149860180).

Almost surely, 2^{2412142242144} is an apocalyptic number.

2412142242144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2412142242144 is an abundant number, since it is smaller than the sum of its proper divisors (4027051046496).

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

2412142242144 is a wasteful number, since it uses less digits than its factorization.

2412142242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425872643 (or 425872635 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

Adding to 2412142242144 its reverse (4412422412142), we get a palindrome (6824564654286).

The spelling of 2412142242144 in words is "two trillion, four hundred twelve billion, one hundred forty-two million, two hundred forty-two thousand, one hundred forty-four".