8007338040 has 64 divisors (see below), whose sum is σ = 25869866400. Its totient is φ = 1971036672.

The previous prime is 8007338023. The next prime is 8007338041. The reversal of 8007338040 is 408337008.

It is a junction number, because it is equal to n+sod(n) for n = 8007337992 and 8007338010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007338041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2564895 + ... + 2568014.

Almost surely, 2^8007338040 is an apocalyptic number.

It is an amenable number.

8007338040 is an abundant number, since it is smaller than the sum of its proper divisors (17862528360).

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

8007338040 is a wasteful number, since it uses less digits than its factorization.

8007338040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132936 (or 5132932 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8007338040 is about 89483.7305883030. The cubic root of 8007338040 is about 2000.6113164604.

The spelling of 8007338040 in words is "eight billion, seven million, three hundred thirty-eight thousand, forty".