10004413214112 has 48 divisors (see below), whose sum is σ = 26344428882912. Its totient is φ = 3324284506880.

The previous prime is 10004413214111. The next prime is 10004413214141. The reversal of 10004413214112 is 21141231440001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (10004413214111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164342814 + ... + 164403677.

It is an arithmetic number, because the mean of its divisors is an integer number (548842268394).

Almost surely, 2^{10004413214112} is an apocalyptic number.

10004413214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10004413214112 is an abundant number, since it is smaller than the sum of its proper divisors (16340015668800).

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

10004413214112 is a wasteful number, since it uses less digits than its factorization.

10004413214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328746821 (or 328746813 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10004413214112 its reverse (21141231440001), we get a palindrome (31145644654113).

The spelling of 10004413214112 in words is "ten trillion, four billion, four hundred thirteen million, two hundred fourteen thousand, one hundred twelve".