1441006440 has 128 divisors (see below), whose sum is σ = 4455630720. Its totient is φ = 372556800.

The previous prime is 1441006429. The next prime is 1441006447. The reversal of 1441006440 is 446001441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1441006440.

It is not an unprimeable number, because it can be changed into a prime (1441006447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179710 + ... + 2180370.

It is an arithmetic number, because the mean of its divisors is an integer number (34809615).

Almost surely, 2^1441006440 is an apocalyptic number.

1441006440 is a gapful number since it is divisible by the number (10) 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 1441006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227815360).

1441006440 is an abundant number, since it is smaller than the sum of its proper divisors (3014624280).

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

1441006440 is a wasteful number, since it uses less digits than its factorization.

1441006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1441006440 is about 37960.5906171124. The cubic root of 1441006440 is about 1129.5062556960.

Adding to 1441006440 its reverse (446001441), we get a palindrome (1887007881).

The spelling of 1441006440 in words is "one billion, four hundred forty-one million, six thousand, four hundred forty".