1321441000 has 192 divisors, whose sum is σ = 3470725440. Its totient is φ = 470448000.

The previous prime is 1321440983. The next prime is 1321441007. The reversal of 1321441000 is 1441231.

It is not an unprimeable number, because it can be changed into a prime (1321441007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8106919 + ... + 8107081.

It is an arithmetic number, because the mean of its divisors is an integer number (18076695).

Almost surely, 2^1321441000 is an apocalyptic number.

1321441000 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 1321441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735362720).

1321441000 is an abundant number, since it is smaller than the sum of its proper divisors (2149284440).

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

1321441000 is a wasteful number, since it uses less digits than its factorization.

1321441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1321441000 is about 36351.6299497010. The cubic root of 1321441000 is about 1097.3603373527.

Adding to 1321441000 its reverse (1441231), we get a palindrome (1322882231).

The spelling of 1321441000 in words is "one billion, three hundred twenty-one million, four hundred forty-one thousand".