4416776144 has 40 divisors (see below), whose sum is σ = 9474819168. Its totient is φ = 1977655680.

The previous prime is 4416776107. The next prime is 4416776149.

It is a happy number.

4416776144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4416776095 and 4416776104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416776149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175487 + ... + 199070.

Almost surely, 2^4416776144 is an apocalyptic number.

4416776144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4416776144 is an abundant number, since it is smaller than the sum of its proper divisors (5058043024).

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

4416776144 is a wasteful number, since it uses less digits than its factorization.

4416776144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374643 (or 374637 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The square root of 4416776144 is about 66458.8304441178. The cubic root of 4416776144 is about 1640.7224835749.

The spelling of 4416776144 in words is "four billion, four hundred sixteen million, seven hundred seventy-six thousand, one hundred forty-four".