10424141000 has 256 divisors, whose sum is σ = 31606848000. Its totient is φ = 3124915200.

The previous prime is 10424140933. The next prime is 10424141011. The reversal of 10424141000 is 14142401.

It is a self number, because there is not a number n which added to its sum of digits gives 10424141000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1725986 + ... + 1732014.

It is an arithmetic number, because the mean of its divisors is an integer number (123464250).

Almost surely, 2^10424141000 is an apocalyptic number.

10424141000 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 10424141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15803424000).

10424141000 is an abundant number, since it is smaller than the sum of its proper divisors (21182707000).

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

10424141000 is a wasteful number, since it uses less digits than its factorization.

10424141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6075 counting only the distinct ones).

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

Adding to 10424141000 its reverse (14142401), we get a palindrome (10438283401).

The spelling of 10424141000 in words is "ten billion, four hundred twenty-four million, one hundred forty-one thousand".