10044412330240 has 144 divisors (see below), whose sum is σ = 24852614614128. Its totient is φ = 3886577123328.

The previous prime is 10044412330229. The next prime is 10044412330247. The reversal of 10044412330240 is 4203321444001.

It can be written as a sum of positive squares in 8 ways, for example, as 4862342525184 + 5182069805056 = 2205072^2 + 2276416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10044412330199 and 10044412330208.

It is not an unprimeable number, because it can be changed into a prime (10044412330247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7580314 + ... + 8806246.

It is an arithmetic number, because the mean of its divisors is an integer number (172587601487).

Almost surely, 2^{10044412330240} is an apocalyptic number.

10044412330240 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 10044412330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426307307064).

10044412330240 is an abundant number, since it is smaller than the sum of its proper divisors (14808202283888).

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

10044412330240 is a wasteful number, since it uses less digits than its factorization.

10044412330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226164 (or 1226150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10044412330240 its reverse (4203321444001), we get a palindrome (14247733774241).

The spelling of 10044412330240 in words is "ten trillion, forty-four billion, four hundred twelve million, three hundred thirty thousand, two hundred forty".