10441142200 has 96 divisors (see below), whose sum is σ = 25650144000. Its totient is φ = 3941654400.

The previous prime is 10441142183. The next prime is 10441142227. The reversal of 10441142200 is 224114401.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024731 + ... + 1034869.

It is an arithmetic number, because the mean of its divisors is an integer number (267189000).

Almost surely, 2^10441142200 is an apocalyptic number.

10441142200 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 10441142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825072000).

10441142200 is an abundant number, since it is smaller than the sum of its proper divisors (15209001800).

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

10441142200 is a wasteful number, since it uses less digits than its factorization.

10441142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10441142200 its reverse (224114401), we get a palindrome (10665256601).

It can be divided in two parts, 104411 and 42200, that added together give a triangular number (146611 = T₅₄₁).

The spelling of 10441142200 in words is "ten billion, four hundred forty-one million, one hundred forty-two thousand, two hundred".