10000414442112 has 128 divisors (see below), whose sum is σ = 26848819146240. Its totient is φ = 3297765301248.

The previous prime is 10000414442101. The next prime is 10000414442113. The reversal of 10000414442112 is 21124441400001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10000414442113) 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, 29703583 + ... + 30038369.

It is an arithmetic number, because the mean of its divisors is an integer number (209756399580).

Almost surely, 2^{10000414442112} is an apocalyptic number.

10000414442112 is a gapful number since it is divisible by the number (12) 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 10000414442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424409573120).

10000414442112 is an abundant number, since it is smaller than the sum of its proper divisors (16848404704128).

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

10000414442112 is a wasteful number, since it uses less digits than its factorization.

10000414442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335638 (or 335626 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10000414442112 its reverse (21124441400001), we get a palindrome (31124855842113).

The spelling of 10000414442112 in words is "ten trillion, four hundred fourteen million, four hundred forty-two thousand, one hundred twelve".