7314904240 has 120 divisors (see below), whose sum is σ = 20825296560. Its totient is φ = 2375944704.

The previous prime is 7314904189. The next prime is 7314904253. The reversal of 7314904240 is 424094137.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7314904196 and 7314904205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25374 + ... + 123586.

It is an arithmetic number, because the mean of its divisors is an integer number (173544138).

Almost surely, 2^7314904240 is an apocalyptic number.

7314904240 is a gapful number since it is divisible by the number (70) 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 7314904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412648280).

7314904240 is an abundant number, since it is smaller than the sum of its proper divisors (13510392320).

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

7314904240 is a wasteful number, since it uses less digits than its factorization.

7314904240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98259 (or 98246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 7314904240 is about 85527.2134469492. The cubic root of 7314904240 is about 1941.1967179710.

Adding to 7314904240 its reverse (424094137), we get a palindrome (7738998377).

The spelling of 7314904240 in words is "seven billion, three hundred fourteen million, nine hundred four thousand, two hundred forty".