40702456368 has 320 divisors, whose sum is σ = 139691059200. Its totient is φ = 11094589440.

The previous prime is 40702456349. The next prime is 40702456369. The reversal of 40702456368 is 86365420704.

40702456368 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 2 + 4 + 5 + 636 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (40702456369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52928688 + ... + 52929456.

It is an arithmetic number, because the mean of its divisors is an integer number (436534560).

Almost surely, 2^40702456368 is an apocalyptic number.

40702456368 is a gapful number since it is divisible by the number (48) 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 40702456368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69845529600).

40702456368 is an abundant number, since it is smaller than the sum of its proper divisors (98988602832).

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

40702456368 is a wasteful number, since it uses less digits than its factorization.

40702456368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40702456368 in words is "forty billion, seven hundred two million, four hundred fifty-six thousand, three hundred sixty-eight".