1444401840 has 320 divisors, whose sum is σ = 5528217600. Its totient is φ = 304668672.

The previous prime is 1444401781. The next prime is 1444401853. The reversal of 1444401840 is 481044441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1444401798 and 1444401807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119916 + ... + 1121204.

It is an arithmetic number, because the mean of its divisors is an integer number (17275680).

Almost surely, 2^1444401840 is an apocalyptic number.

1444401840 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 1444401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764108800).

1444401840 is an abundant number, since it is smaller than the sum of its proper divisors (4083815760).

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

1444401840 is a wasteful number, since it uses less digits than its factorization.

1444401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 1444401840 is about 38005.2870006266. The cubic root of 1444401840 is about 1130.3927003304.

The spelling of 1444401840 in words is "one billion, four hundred forty-four million, four hundred one thousand, eight hundred forty".