40134356784765 has 64 divisors (see below), whose sum is σ = 72575453260800. Its totient is φ = 21037506242112.

The previous prime is 40134356784679. The next prime is 40134356784793. The reversal of 40134356784765 is 56748765343104.

40134356784765 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 3 + 567 + 8 + 4 + 7 + 65 = 666.

It is not a de Polignac number, because 40134356784765 - 2¹⁵ = 40134356751997 is a prime.

It is a super-2 number, since 2×40134356784765² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35339254 + ... + 36457256.

It is an arithmetic number, because the mean of its divisors is an integer number (1133991457200).

Almost surely, 2^{40134356784765} is an apocalyptic number.

40134356784765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40134356784765 is a deficient number, since it is larger than the sum of its proper divisors (32441096476035).

40134356784765 is a wasteful number, since it uses less digits than its factorization.

40134356784765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122583 (or 1122577 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 40134356784765 in words is "forty trillion, one hundred thirty-four billion, three hundred fifty-six million, seven hundred eighty-four thousand, seven hundred sixty-five".