4129416 has 48 divisors (see below), whose sum is σ = 11334960. Its totient is φ = 1357920.

The previous prime is 4129393. The next prime is 4129423. The reversal of 4129416 is 6149214.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4129416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5631 + ... + 6321.

It is an arithmetic number, because the mean of its divisors is an integer number (236145).

Almost surely, 2^4129416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667480).

4129416 is an abundant number, since it is smaller than the sum of its proper divisors (7205544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4129416 is a wasteful number, since it uses less digits than its factorization.

4129416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 779 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4129416 is about 2032.0964544037. The cubic root of 4129416 is about 160.4339262777.

The spelling of 4129416 in words is "four million, one hundred twenty-nine thousand, four hundred sixteen".