1441760320 has 336 divisors, whose sum is σ = 4699211328. Its totient is φ = 414167040.

The previous prime is 1441760311. The next prime is 1441760351. The reversal of 1441760320 is 230671441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2241919 + ... + 2242561.

It is an arithmetic number, because the mean of its divisors is an integer number (13985748).

Almost surely, 2^1441760320 is an apocalyptic number.

1441760320 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 1441760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349605664).

1441760320 is an abundant number, since it is smaller than the sum of its proper divisors (3257451008).

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

1441760320 is a wasteful number, since it uses less digits than its factorization.

1441760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1441760320 is about 37970.5190904733. The cubic root of 1441760320 is about 1129.7031929898.

The spelling of 1441760320 in words is "one billion, four hundred forty-one million, seven hundred sixty thousand, three hundred twenty".