10144042000 has 80 divisors (see below), whose sum is σ = 24804327600. Its totient is φ = 4011955200.

The previous prime is 10144041961. The next prime is 10144042021. The reversal of 10144042000 is 24044101.

It can be written as a sum of positive squares in 8 ways, for example, as 2822159376 + 7321882624 = 53124^2 + 85568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149506 + ... + 206494.

It is an arithmetic number, because the mean of its divisors is an integer number (310054095).

Almost surely, 2^10144042000 is an apocalyptic number.

10144042000 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 10144042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12402163800).

10144042000 is an abundant number, since it is smaller than the sum of its proper divisors (14660285600).

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

10144042000 is an equidigital number, since it uses as much as digits as its factorization.

10144042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57101 (or 57085 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10144042000 its reverse (24044101), we get a palindrome (10168086101).

The spelling of 10144042000 in words is "ten billion, one hundred forty-four million, forty-two thousand".