10441112430 has 256 divisors, whose sum is σ = 30636195840. Its totient is φ = 2226183168.

The previous prime is 10441112329. The next prime is 10441112441. The reversal of 10441112430 is 3421114401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10441112397 and 10441112406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45995977 + ... + 45996203.

It is an arithmetic number, because the mean of its divisors is an integer number (119672640).

Almost surely, 2^10441112430 is an apocalyptic number.

10441112430 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 10441112430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318097920).

10441112430 is an abundant number, since it is smaller than the sum of its proper divisors (20195083410).

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

10441112430 is a wasteful number, since it uses less digits than its factorization.

10441112430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10441112430 its reverse (3421114401), we get a palindrome (13862226831).

The spelling of 10441112430 in words is "ten billion, four hundred forty-one million, one hundred twelve thousand, four hundred thirty".