4441000416 has 96 divisors (see below), whose sum is σ = 12301712640. Its totient is φ = 1398933504.

The previous prime is 4441000411. The next prime is 4441000451. The reversal of 4441000416 is 6140001444.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441000411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786981 + ... + 792603.

It is an arithmetic number, because the mean of its divisors is an integer number (128142840).

Almost surely, 2^4441000416 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 4441000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150856320).

4441000416 is an abundant number, since it is smaller than the sum of its proper divisors (7860712224).

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

4441000416 is a wasteful number, since it uses less digits than its factorization.

4441000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6080 counting only the distinct ones).

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

The square root of 4441000416 is about 66640.8314473942. The cubic root of 4441000416 is about 1643.7165879159.

The spelling of 4441000416 in words is "four billion, four hundred forty-one million, four hundred sixteen", and thus it is an aban number.