4144413504 has 224 divisors, whose sum is σ = 13750235136. Its totient is φ = 1070254080.

The previous prime is 4144413503. The next prime is 4144413541. The reversal of 4144413504 is 4053144414.

4144413504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144413503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911737 + ... + 2913159.

Almost surely, 2^4144413504 is an apocalyptic number.

4144413504 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 4144413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875117568).

4144413504 is an abundant number, since it is smaller than the sum of its proper divisors (9605821632).

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

4144413504 is a wasteful number, since it uses less digits than its factorization.

4144413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4144413504 is about 64377.1194136550. The cubic root of 4144413504 is about 1606.2791669692.

Adding to 4144413504 its reverse (4053144414), we get a palindrome (8197557918).

The spelling of 4144413504 in words is "four billion, one hundred forty-four million, four hundred thirteen thousand, five hundred four".