1441034400 has 144 divisors (see below), whose sum is σ = 5051489184. Its totient is φ = 354708480.

The previous prime is 1441034369. The next prime is 1441034407. The reversal of 1441034400 is 44301441.

It is not an unprimeable number, because it can be changed into a prime (1441034407) 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 23 ways as a sum of consecutive naturals, for example, 8107 + ... + 54293.

It is an arithmetic number, because the mean of its divisors is an integer number (35079786).

Almost surely, 2^1441034400 is an apocalyptic number.

1441034400 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 1441034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525744592).

1441034400 is an abundant number, since it is smaller than the sum of its proper divisors (3610454784).

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

1441034400 is a wasteful number, since it uses less digits than its factorization.

1441034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46223 (or 46210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1441034400 is about 37960.9588919985. The cubic root of 1441034400 is about 1129.5135609584.

Adding to 1441034400 its reverse (44301441), we get a palindrome (1485335841).

The spelling of 1441034400 in words is "one billion, four hundred forty-one million, thirty-four thousand, four hundred".