1441774080 has 400 divisors, whose sum is σ = 5481111240. Its totient is φ = 360972288.

The previous prime is 1441774057. The next prime is 1441774127. The reversal of 1441774080 is 804771441.

1441774080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1434288384 + 7485696 = 37872^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3524916 + ... + 3525324.

Almost surely, 2^1441774080 is an apocalyptic number.

1441774080 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 1441774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740555620).

1441774080 is an abundant number, since it is smaller than the sum of its proper divisors (4039337160).

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

1441774080 is an equidigital number, since it uses as much as digits as its factorization.

1441774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1441774080 is about 37970.7002832447. The cubic root of 1441774080 is about 1129.7067868989.

It can be divided in two parts, 144 and 1774080, that added together give a square (1774224 = 1332²).

The spelling of 1441774080 in words is "one billion, four hundred forty-one million, seven hundred seventy-four thousand, eighty".