7040307456 has 810 divisors, whose sum is σ = 27088284762. Its totient is φ = 1811496960.

The previous prime is 7040307437. The next prime is 7040307457. The reversal of 7040307456 is 6547030407.

It can be written as a sum of positive squares in 3 ways, for example, as 537497856 + 6502809600 = 23184^2 + 80640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7040307456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7040307457) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 171714796 + ... + 171714836.

Almost surely, 2^7040307456 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 7040307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544142381).

7040307456 is an abundant number, since it is smaller than the sum of its proper divisors (20047977306).

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

7040307456 is a wasteful number, since it uses less digits than its factorization.

7040307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7040307456 is about 83906.5400073200. The cubic root of 7040307456 is about 1916.5958430020.

The spelling of 7040307456 in words is "seven billion, forty million, three hundred seven thousand, four hundred fifty-six".