4413894144 has 320 divisors, whose sum is σ = 13802545152. Its totient is φ = 1248952320.

The previous prime is 4413894109. The next prime is 4413894151. The reversal of 4413894144 is 4414983144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4413894096 and 4413894105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34755009 + ... + 34755135.

Almost surely, 2^4413894144 is an apocalyptic number.

4413894144 is a gapful number since it is divisible by the number (44) 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 4413894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901272576).

4413894144 is an abundant number, since it is smaller than the sum of its proper divisors (9388651008).

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

4413894144 is a wasteful number, since it uses less digits than its factorization.

4413894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 4413894144 is about 66437.1443094900. The cubic root of 4413894144 is about 1640.3655421544.

The spelling of 4413894144 in words is "four billion, four hundred thirteen million, eight hundred ninety-four thousand, one hundred forty-four".