10042144000 has 288 divisors, whose sum is σ = 28896731136. Its totient is φ = 3406233600.

The previous prime is 10042143973. The next prime is 10042144009. The reversal of 10042144000 is 44124001.

It is a super-2 number, since 2×10042144000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042144009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28447824 + ... + 28448176.

It is an arithmetic number, because the mean of its divisors is an integer number (100335872).

Almost surely, 2^10042144000 is an apocalyptic number.

10042144000 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 10042144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448365568).

10042144000 is an abundant number, since it is smaller than the sum of its proper divisors (18854587136).

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

10042144000 is an equidigital number, since it uses as much as digits as its factorization.

10042144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 494 counting only the distinct ones).

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

Adding to 10042144000 its reverse (44124001), we get a palindrome (10086268001).

The spelling of 10042144000 in words is "ten billion, forty-two million, one hundred forty-four thousand".