40805752680 has 768 divisors, whose sum is σ = 178561843200. Its totient is φ = 7827240960.

The previous prime is 40805752621. The next prime is 40805752717. The reversal of 40805752680 is 8625750804.

40805752680 is a `hidden beast` number, since 40 + 8 + 0 + 5 + 7 + 526 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18488137 + ... + 18490343.

It is an arithmetic number, because the mean of its divisors is an integer number (232502400).

Almost surely, 2^40805752680 is an apocalyptic number.

40805752680 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 40805752680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280921600).

40805752680 is an abundant number, since it is smaller than the sum of its proper divisors (137756090520).

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

40805752680 is a wasteful number, since it uses less digits than its factorization.

40805752680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40805752680 in words is "forty billion, eight hundred five million, seven hundred fifty-two thousand, six hundred eighty".