4140106407 has 12 divisors (see below), whose sum is σ = 6331927680. Its totient is φ = 2597713728.

The previous prime is 4140106391. The next prime is 4140106409. The reversal of 4140106407 is 7046010414.

4140106407 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 10 + 640 + 7 = 666.

4140106407 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4140106407 - 2⁴ = 4140106391 is a prime.

It is a super-2 number, since 2×4140106407² = 34280962122564899298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140106409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13529607 + ... + 13529912.

It is an arithmetic number, because the mean of its divisors is an integer number (527660640).

Almost surely, 2^4140106407 is an apocalyptic number.

4140106407 is a deficient number, since it is larger than the sum of its proper divisors (2191821273).

4140106407 is a wasteful number, since it uses less digits than its factorization.

4140106407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27059542 (or 27059539 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4140106407 is about 64343.6586385947. The cubic root of 4140106407 is about 1605.7225302488.

The spelling of 4140106407 in words is "four billion, one hundred forty million, one hundred six thousand, four hundred seven".