40113420312105 has 96 divisors (see below), whose sum is σ = 80607041309184. Its totient is φ = 18073849863168.

The previous prime is 40113420312089. The next prime is 40113420312107. The reversal of 40113420312105 is 50121302431104.

40113420312105 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 342 + 0 + 312 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 40113420312105 - 2⁴ = 40113420312089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40113420312107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32670987 + ... + 33876543.

It is an arithmetic number, because the mean of its divisors is an integer number (839656680304).

Almost surely, 2^{40113420312105} is an apocalyptic number.

40113420312105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40113420312105 is an abundant number, since it is smaller than the sum of its proper divisors (40493620997079).

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

40113420312105 is a wasteful number, since it uses less digits than its factorization.

40113420312105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207095 (or 1207092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 40113420312105 its reverse (50121302431104), we get a palindrome (90234722743209).

The spelling of 40113420312105 in words is "forty trillion, one hundred thirteen billion, four hundred twenty million, three hundred twelve thousand, one hundred five".