414121007 has 2 divisors, whose sum is σ = 414121008. Its totient is φ = 414121006.

The previous prime is 414120991. The next prime is 414121013. The reversal of 414121007 is 700121414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414121007 - 2⁴ = 414120991 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414121007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414121087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207060503 + 207060504.

It is an arithmetic number, because the mean of its divisors is an integer number (207060504).

Almost surely, 2^414121007 is an apocalyptic number.

414121007 is a deficient number, since it is larger than the sum of its proper divisors (1).

414121007 is an equidigital number, since it uses as much as digits as its factorization.

414121007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 414121007 is about 20349.9633169203. The cubic root of 414121007 is about 745.3765986303.

The spelling of 414121007 in words is "four hundred fourteen million, one hundred twenty-one thousand, seven".