40680405 has 48 divisors (see below), whose sum is σ = 76540464. Its totient is φ = 19906560.

The previous prime is 40680403. The next prime is 40680407. The reversal of 40680405 is 50408604.

It is an interprime number because it is at equal distance from previous prime (40680403) and next prime (40680407).

It can be written as a sum of positive squares in 8 ways, for example, as 1028196 + 39652209 = 1014^2 + 6297^2 .

It is not a de Polignac number, because 40680405 - 2¹ = 40680403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40680403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30717 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (1594593).

Almost surely, 2^40680405 is an apocalyptic number.

40680405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40680405 is a deficient number, since it is larger than the sum of its proper divisors (35860059).

40680405 is a wasteful number, since it uses less digits than its factorization.

40680405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40680405 is about 6378.1192368911. The cubic root of 40680405 is about 343.9234241170.

The spelling of 40680405 in words is "forty million, six hundred eighty thousand, four hundred five".