40685091686415 has 128 divisors (see below), whose sum is σ = 81455225241600. Its totient is φ = 19088489808000.

The previous prime is 40685091686413. The next prime is 40685091686443. The reversal of 40685091686415 is 51468619058604.

40685091686415 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 50 + 9 + 168 + 6 + 415 = 666.

It is not a de Polignac number, because 40685091686415 - 2¹ = 40685091686413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40685091686413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1252642146 + ... + 1252674624.

It is an arithmetic number, because the mean of its divisors is an integer number (636368947200).

Almost surely, 2^{40685091686415} is an apocalyptic number.

40685091686415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40685091686415 is an abundant number, since it is smaller than the sum of its proper divisors (40770133555185).

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

40685091686415 is a wasteful number, since it uses less digits than its factorization.

40685091686415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59746 (or 59740 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 40685091686415 in words is "forty trillion, six hundred eighty-five billion, ninety-one million, six hundred eighty-six thousand, four hundred fifteen".