10042241130 has 96 divisors (see below), whose sum is σ = 26666761680. Its totient is φ = 2621414400.

The previous prime is 10042241129. The next prime is 10042241137. The reversal of 10042241130 is 3114224001.

It can be written as a sum of positive squares in 8 ways, for example, as 4550986521 + 5491254609 = 67461^2 + 74103^2 .

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 (10042241137) 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, 802804 + ... + 815216.

Almost surely, 2^10042241130 is an apocalyptic number.

10042241130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333380840).

10042241130 is an abundant number, since it is smaller than the sum of its proper divisors (16624520550).

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

10042241130 is a wasteful number, since it uses less digits than its factorization.

10042241130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12613 counting only the distinct ones).

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

Adding to 10042241130 its reverse (3114224001), we get a palindrome (13156465131).

The spelling of 10042241130 in words is "ten billion, forty-two million, two hundred forty-one thousand, one hundred thirty".