1441532000 has 288 divisors, whose sum is σ = 3982698720. Its totient is φ = 511795200.

The previous prime is 1441531979. The next prime is 1441532069. The reversal of 1441532000 is 2351441.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 33523979 + ... + 33524021.

It is an arithmetic number, because the mean of its divisors is an integer number (13828815).

Almost surely, 2^1441532000 is an apocalyptic number.

1441532000 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 1441532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991349360).

1441532000 is an abundant number, since it is smaller than the sum of its proper divisors (2541166720).

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

1441532000 is a wasteful number, since it uses less digits than its factorization.

1441532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1441532000 is about 37967.5124283907. The cubic root of 1441532000 is about 1129.6435558351.

Adding to 1441532000 its reverse (2351441), we get a palindrome (1443883441).

The spelling of 1441532000 in words is "one billion, four hundred forty-one million, five hundred thirty-two thousand".