7941240000 has 840 divisors, whose sum is σ = 31771579840. Its totient is φ = 1959552000.

The previous prime is 7941239993. The next prime is 7941240007. The reversal of 7941240000 is 421497.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7941239993) and next prime (7941240007).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7941240007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 184679979 + ... + 184680021.

Almost surely, 2^7941240000 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 7941240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885789920).

7941240000 is an abundant number, since it is smaller than the sum of its proper divisors (23830339840).

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

7941240000 is an equidigital number, since it uses as much as digits as its factorization.

7941240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7941240000 is about 89113.6353203033. The cubic root of 7941240000 is about 1995.0912954998.

Adding to 7941240000 its reverse (421497), we get a palindrome (7941661497).

The spelling of 7941240000 in words is "seven billion, nine hundred forty-one million, two hundred forty thousand".