4100010007 has 2 divisors, whose sum is σ = 4100010008. Its totient is φ = 4100010006.

The previous prime is 4100009933. The next prime is 4100010049. The reversal of 4100010007 is 7000100014.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4100010007 - 2²⁷ = 3965792279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100010067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050005003 + 2050005004.

It is an arithmetic number, because the mean of its divisors is an integer number (2050005004).

Almost surely, 2^4100010007 is an apocalyptic number.

4100010007 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100010007 is an equidigital number, since it uses as much as digits as its factorization.

4100010007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 4100010007 is about 64031.3205158226. The cubic root of 4100010007 is about 1600.5219660293.

The spelling of 4100010007 in words is "four billion, one hundred million, ten thousand, seven".