4415144020 has 96 divisors (see below), whose sum is σ = 10839628800. Its totient is φ = 1509984000.

The previous prime is 4415143987. The next prime is 4415144039. The reversal of 4415144020 is 204415144.

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, 5151432 + ... + 5152288.

It is an arithmetic number, because the mean of its divisors is an integer number (112912800).

Almost surely, 2^4415144020 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 4415144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419814400).

4415144020 is an abundant number, since it is smaller than the sum of its proper divisors (6424484780).

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

4415144020 is a wasteful number, since it uses less digits than its factorization.

4415144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4415144020 is about 66446.5500985567. The cubic root of 4415144020 is about 1640.5203608522.

Adding to 4415144020 its reverse (204415144), we get a palindrome (4619559164).

The spelling of 4415144020 in words is "four billion, four hundred fifteen million, one hundred forty-four thousand, twenty".