12401441000 has 128 divisors (see below), whose sum is σ = 31481049600. Its totient is φ = 4545388800.

The previous prime is 12401440957. The next prime is 12401441021. The reversal of 12401441000 is 14410421.

It is a self number, because there is not a number n which added to its sum of digits gives 12401441000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803569 + ... + 1810431.

It is an arithmetic number, because the mean of its divisors is an integer number (245945700).

Almost surely, 2^12401441000 is an apocalyptic number.

12401441000 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 12401441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740524800).

12401441000 is an abundant number, since it is smaller than the sum of its proper divisors (19079608600).

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

12401441000 is a wasteful number, since it uses less digits than its factorization.

12401441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12401441000 its reverse (14410421), we get a palindrome (12415851421).

The spelling of 12401441000 in words is "twelve billion, four hundred one million, four hundred forty-one thousand".