4144416 has 48 divisors (see below), whose sum is σ = 11358144. Its totient is φ = 1320704.

The previous prime is 4144409. The next prime is 4144423. The reversal of 4144416 is 6144414.

It is an interprime number because it is at equal distance from previous prime (4144409) and next prime (4144423).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1270 + ... + 3146.

It is an arithmetic number, because the mean of its divisors is an integer number (236628).

Almost surely, 2^4144416 is an apocalyptic number.

4144416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679072).

4144416 is an abundant number, since it is smaller than the sum of its proper divisors (7213728).

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

4144416 is a wasteful number, since it uses less digits than its factorization.

4144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1905 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4144416 is about 2035.7838785097. The cubic root of 4144416 is about 160.6279489433.

It can be divided in two parts, 4144 and 416, that added together give a triangular number (4560 = T₉₅).

The spelling of 4144416 in words is "four million, one hundred forty-four thousand, four hundred sixteen".