4016114123329 has 24 divisors (see below), whose sum is σ = 5103604713600. Its totient is φ = 3125086786080.

The previous prime is 4016114123327. The next prime is 4016114123341. The reversal of 4016114123329 is 9233214116104.

It is not a de Polignac number, because 4016114123329 - 2¹ = 4016114123327 is a prime.

It is a super-2 number, since 2×4016114123329² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4016114123321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4793994 + ... + 5569075.

It is an arithmetic number, because the mean of its divisors is an integer number (212650196400).

Almost surely, 2^{4016114123329} is an apocalyptic number.

4016114123329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4016114123329 is a deficient number, since it is larger than the sum of its proper divisors (1087490590271).

4016114123329 is a wasteful number, since it uses less digits than its factorization.

4016114123329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363813 (or 10363806 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 4016114123329 in words is "four trillion, sixteen billion, one hundred fourteen million, one hundred twenty-three thousand, three hundred twenty-nine".