40807860756480 has 1792 divisors, whose sum is σ = 157484153733120. Its totient is φ = 10113169489920.

The previous prime is 40807860756473. The next prime is 40807860756521. The reversal of 40807860756480 is 8465706870804.

40807860756480 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 7 + 8 + 60 + 7 + 564 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193402183575 + ... + 193402183785.

Almost surely, 2^{40807860756480} is an apocalyptic number.

40807860756480 is a gapful number since it is divisible by the number (40) 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 40807860756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78742076866560).

40807860756480 is an abundant number, since it is smaller than the sum of its proper divisors (116676292976640).

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

40807860756480 is an equidigital number, since it uses as much as digits as its factorization.

40807860756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 40807860756480 in words is "forty trillion, eight hundred seven billion, eight hundred sixty million, seven hundred fifty-six thousand, four hundred eighty".