7941242144 has 96 divisors (see below), whose sum is σ = 17740477440. Its totient is φ = 3466086400.

The previous prime is 7941242137. The next prime is 7941242149. The reversal of 7941242144 is 4412421497.

It is a junction number, because it is equal to n+sod(n) for n = 7941242098 and 7941242107.

It is not an unprimeable number, because it can be changed into a prime (7941242149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1947692 + ... + 1951764.

It is an arithmetic number, because the mean of its divisors is an integer number (184796640).

Almost surely, 2^7941242144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7941242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870238720).

7941242144 is an abundant number, since it is smaller than the sum of its proper divisors (9799235296).

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

7941242144 is a wasteful number, since it uses less digits than its factorization.

7941242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4306 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 7941242144 is about 89113.6473498869. The cubic root of 7941242144 is about 1995.0914750467.

The spelling of 7941242144 in words is "seven billion, nine hundred forty-one million, two hundred forty-two thousand, one hundred forty-four".