4441253440 has 112 divisors (see below), whose sum is σ = 11756989440. Its totient is φ = 1586903040.

The previous prime is 4441253429. The next prime is 4441253441. The reversal of 4441253440 is 443521444.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4441253441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111741 + ... + 146179.

It is an arithmetic number, because the mean of its divisors is an integer number (104973120).

Almost surely, 2^4441253440 is an apocalyptic number.

4441253440 is a gapful number since it is divisible by the number (40) 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 4441253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878494720).

4441253440 is an abundant number, since it is smaller than the sum of its proper divisors (7315736000).

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

4441253440 is a wasteful number, since it uses less digits than its factorization.

4441253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34500 (or 34490 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 4441253440 is about 66642.7298360444. The cubic root of 4441253440 is about 1643.7478039940.

Adding to 4441253440 its reverse (443521444), we get a palindrome (4884774884).

The spelling of 4441253440 in words is "four billion, four hundred forty-one million, two hundred fifty-three thousand, four hundred forty".