4000710105 has 36 divisors (see below), whose sum is σ = 8066742372. Its totient is φ = 1828895040.

The previous prime is 4000710101. The next prime is 4000710121. The reversal of 4000710105 is 5010170004.

It can be written as a sum of positive squares in 2 ways, for example, as 854509824 + 3146200281 = 29232^2 + 56091^2 .

It is not a de Polignac number, because 4000710105 - 2² = 4000710101 is a prime.

It is a super-2 number, since 2×4000710105² = 32011362688498222050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000710101) 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 35 ways as a sum of consecutive naturals, for example, 904986 + ... + 909395.

It is an arithmetic number, because the mean of its divisors is an integer number (224076177).

Almost surely, 2^4000710105 is an apocalyptic number.

4000710105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4000710105 is an abundant number, since it is smaller than the sum of its proper divisors (4066032267).

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

4000710105 is a wasteful number, since it uses less digits than its factorization.

4000710105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814406 (or 1814396 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 4000710105 is about 63251.1668271819. The cubic root of 4000710105 is about 1587.4949815288.

Adding to 4000710105 its reverse (5010170004), we get a palindrome (9010880109).

The spelling of 4000710105 in words is "four billion, seven hundred ten thousand, one hundred five".