1441552000 has 256 divisors, whose sum is σ = 4182946560. Its totient is φ = 483840000.

The previous prime is 1441551997. The next prime is 1441552019. The reversal of 1441552000 is 2551441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831895 + ... + 6832105.

It is an arithmetic number, because the mean of its divisors is an integer number (16339635).

Almost surely, 2^1441552000 is an apocalyptic number.

1441552000 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 1441552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091473280).

1441552000 is an abundant number, since it is smaller than the sum of its proper divisors (2741394560).

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

1441552000 is an equidigital number, since it uses as much as digits as its factorization.

1441552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1441552000 is about 37967.7758105476. The cubic root of 1441552000 is about 1129.6487800842.

The spelling of 1441552000 in words is "one billion, four hundred forty-one million, five hundred fifty-two thousand".