1441748000 has 384 divisors, whose sum is σ = 4589125632. Its totient is φ = 432000000.

The previous prime is 1441747997. The next prime is 1441748003. The reversal of 1441748000 is 8471441.

It is an interprime number because it is at equal distance from previous prime (1441747997) and next prime (1441748003).

It is not an unprimeable number, because it can be changed into a prime (1441748003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9547925 + ... + 9548075.

It is an arithmetic number, because the mean of its divisors is an integer number (11950848).

Almost surely, 2^1441748000 is an apocalyptic number.

1441748000 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 1441748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294562816).

1441748000 is an abundant number, since it is smaller than the sum of its proper divisors (3147377632).

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

1441748000 is a wasteful number, since it uses less digits than its factorization.

1441748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 1441748000 is about 37970.3568590025. The cubic root of 1441748000 is about 1129.6999751681.

The spelling of 1441748000 in words is "one billion, four hundred forty-one million, seven hundred forty-eight thousand".