4461414144 has 144 divisors (see below), whose sum is σ = 13517086464. Its totient is φ = 1293107200.

The previous prime is 4461414137. The next prime is 4461414169. The reversal of 4461414144 is 4414141644.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182824 + ... + 205784.

It is an arithmetic number, because the mean of its divisors is an integer number (93868656).

Almost surely, 2^4461414144 is an apocalyptic number.

4461414144 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 4461414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758543232).

4461414144 is an abundant number, since it is smaller than the sum of its proper divisors (9055672320).

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

4461414144 is a wasteful number, since it uses less digits than its factorization.

4461414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23014 (or 23000 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 4461414144 is about 66793.8181570720. The cubic root of 4461414144 is about 1646.2312691809.

Adding to 4461414144 its reverse (4414141644), we get a palindrome (8875555788).

The spelling of 4461414144 in words is "four billion, four hundred sixty-one million, four hundred fourteen thousand, one hundred forty-four".