10141344000 has 432 divisors, whose sum is σ = 38102972544. Its totient is φ = 2585088000.

The previous prime is 10141343983. The next prime is 10141344007. The reversal of 10141344000 is 44314101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10141344007) 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, 6623235 + ... + 6624765.

Almost surely, 2^10141344000 is an apocalyptic number.

10141344000 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 10141344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051486272).

10141344000 is an abundant number, since it is smaller than the sum of its proper divisors (27961628544).

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

10141344000 is a wasteful number, since it uses less digits than its factorization.

10141344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10141344000 its reverse (44314101), we get a palindrome (10185658101).

The spelling of 10141344000 in words is "ten billion, one hundred forty-one million, three hundred forty-four thousand".