40117681407 has 32 divisors (see below), whose sum is σ = 54486432000. Its totient is φ = 26252501760.

The previous prime is 40117681349. The next prime is 40117681427. The reversal of 40117681407 is 70418671104.

It is not a de Polignac number, because 40117681407 - 2¹⁴ = 40117665023 is a prime.

It is a super-2 number, since 2×40117681407² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40117681427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36770932 + ... + 36772022.

It is an arithmetic number, because the mean of its divisors is an integer number (1702701000).

Almost surely, 2^40117681407 is an apocalyptic number.

40117681407 is a deficient number, since it is larger than the sum of its proper divisors (14368750593).

40117681407 is a wasteful number, since it uses less digits than its factorization.

40117681407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151.

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 40117681407 in words is "forty billion, one hundred seventeen million, six hundred eighty-one thousand, four hundred seven".