4101416 has 48 divisors (see below), whose sum is σ = 8937600. Its totient is φ = 1758240.

The previous prime is 4101401. The next prime is 4101431. The reversal of 4101416 is 6141014.

4101416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4101401) and next prime (4101431).

It is a super-2 number, since 2×4101416² = 33643226410112, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4101394 and 4101403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18281 + ... + 18503.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 2^4101416 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 4101416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468800).

4101416 is an abundant number, since it is smaller than the sum of its proper divisors (4836184).

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

4101416 is a wasteful number, since it uses less digits than its factorization.

4101416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 4101416 is about 2025.1952992243. The cubic root of 4101416 is about 160.0704897737.

The spelling of 4101416 in words is "four million, one hundred one thousand, four hundred sixteen".