4100416 has 28 divisors (see below), whose sum is σ = 8249920. Its totient is φ = 2021760.

The previous prime is 4100413. The next prime is 4100419. The reversal of 4100416 is 6140014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4100413) and next prime (4100419).

It is a super-2 number, since 2×4100416² = 33626822746112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4100416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4651 + ... + 5461.

It is an arithmetic number, because the mean of its divisors is an integer number (294640).

Almost surely, 2^4100416 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 4100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124960).

4100416 is an abundant number, since it is smaller than the sum of its proper divisors (4149504).

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

4100416 is an equidigital number, since it uses as much as digits as its factorization.

4100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4100416 is about 2024.9483944042. The cubic root of 4100416 is about 160.0574793483.

The spelling of 4100416 in words is "four million, one hundred thousand, four hundred sixteen".