40132414305 has 20 divisors (see below), whose sum is σ = 71941069332. Its totient is φ = 21403954080.

The previous prime is 40132414303. The next prime is 40132414307. The reversal of 40132414305 is 50341423104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40132414303) and next prime (40132414307).

It can be written as a sum of positive squares in 2 ways, for example, as 29500123536 + 10632290769 = 171756^2 + 103113^2 .

It is not a de Polignac number, because 40132414305 - 2¹ = 40132414303 is a prime.

It is a super-2 number, since 2×40132414305² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40132414303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49545786 + ... + 49546595.

Almost surely, 2^40132414305 is an apocalyptic number.

40132414305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40132414305 is a deficient number, since it is larger than the sum of its proper divisors (31808655027).

40132414305 is an equidigital number, since it uses as much as digits as its factorization.

40132414305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99092398 (or 99092389 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40132414305 its reverse (50341423104), we get a palindrome (90473837409).

The spelling of 40132414305 in words is "forty billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred five".