4014129 has 32 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 2217936.

The previous prime is 4014113. The next prime is 4014133. The reversal of 4014129 is 9214104.

It is not a de Polignac number, because 4014129 - 2⁴ = 4014113 is a prime.

It is a super-2 number, since 2×4014129² = 32226463257282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4014139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48322 + ... + 48404.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^4014129 is an apocalyptic number.

4014129 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4014129 is a deficient number, since it is larger than the sum of its proper divisors (2437071).

4014129 is an equidigital number, since it uses as much as digits as its factorization.

4014129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4014129 is about 2003.5291362992. The cubic root of 4014129 is about 158.9267888102.

The spelling of 4014129 in words is "four million, fourteen thousand, one hundred twenty-nine".