40800735765 has 12 divisors (see below), whose sum is σ = 70721275404. Its totient is φ = 21760392384.

The previous prime is 40800735763. The next prime is 40800735809. The reversal of 40800735765 is 56753700804.

40800735765 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 0 + 73 + 576 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5054783409 + 35745952356 = 71097^2 + 189066^2 .

It is not a de Polignac number, because 40800735765 - 2¹ = 40800735763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 906683017 = 40800735765 / (4 + 0 + 8 + 0 + 0 + 7 + 3 + 5 + 7 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 40800735765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40800735763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453341464 + ... + 453341553.

It is an arithmetic number, because the mean of its divisors is an integer number (5893439617).

Almost surely, 2^40800735765 is an apocalyptic number.

40800735765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40800735765 is a deficient number, since it is larger than the sum of its proper divisors (29920539639).

40800735765 is a wasteful number, since it uses less digits than its factorization.

40800735765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906683028 (or 906683025 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 40800735765 in words is "forty billion, eight hundred million, seven hundred thirty-five thousand, seven hundred sixty-five".