10412405224004 has 144 divisors (see below), whose sum is σ = 21941756928000. Its totient is φ = 4306428786240.

The previous prime is 10412405223989. The next prime is 10412405224019. The reversal of 10412405224004 is 40042250421401.

It is a happy number.

10412405224004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10412405223989) and next prime (10412405224019).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4451647067 + ... + 4451649405.

It is an arithmetic number, because the mean of its divisors is an integer number (152373312000).

Almost surely, 2^{10412405224004} is an apocalyptic number.

10412405224004 is a gapful number since it is divisible by the number (14) 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 10412405224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10970878464000).

10412405224004 is an abundant number, since it is smaller than the sum of its proper divisors (11529351703996).

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

10412405224004 is a wasteful number, since it uses less digits than its factorization.

10412405224004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 10412405224004 its reverse (40042250421401), we get a palindrome (50454655645405).

The spelling of 10412405224004 in words is "ten trillion, four hundred twelve billion, four hundred five million, two hundred twenty-four thousand, four".