40700795760 has 200 divisors, whose sum is σ = 143678664096. Its totient is φ = 10675514880.

The previous prime is 40700795749. The next prime is 40700795761. The reversal of 40700795760 is 6759700704.

40700795760 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 0 + 79 + 576 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40700795761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343797 + ... + 446763.

Almost surely, 2^40700795760 is an apocalyptic number.

40700795760 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 40700795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839332048).

40700795760 is an abundant number, since it is smaller than the sum of its proper divisors (102977868336).

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

40700795760 is a wasteful number, since it uses less digits than its factorization.

40700795760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103053 (or 103038 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 40700795760 in words is "forty billion, seven hundred million, seven hundred ninety-five thousand, seven hundred sixty".