10440412300 has 144 divisors (see below), whose sum is σ = 24695731872. Its totient is φ = 3816345600.

The previous prime is 10440412289. The next prime is 10440412303. The reversal of 10440412300 is 321404401.

It is not an unprimeable number, because it can be changed into a prime (10440412303) 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, 8606494 + ... + 8607706.

It is an arithmetic number, because the mean of its divisors is an integer number (171498138).

Almost surely, 2^10440412300 is an apocalyptic number.

10440412300 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 10440412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347865936).

10440412300 is an abundant number, since it is smaller than the sum of its proper divisors (14255319572).

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

10440412300 is a wasteful number, since it uses less digits than its factorization.

10440412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10440412300 its reverse (321404401), we get a palindrome (10761816701).

It can be divided in two parts, 10440 and 412300, that added together give a triangular number (422740 = T₉₁₉).

The spelling of 10440412300 in words is "ten billion, four hundred forty million, four hundred twelve thousand, three hundred".