10414430352000 has 384 divisors, whose sum is σ = 38690522067600. Its totient is φ = 2681415475200.

The previous prime is 10414430351987. The next prime is 10414430352041. The reversal of 10414430352000 is 25303441401.

It is a happy number.

10414430352000 is a `hidden beast` number, since 1 + 0 + 414 + 43 + 0 + 3 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1623300231744 + 8791130120256 = 1274088^2 + 2964984^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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, 2929062 + ... + 5422938.

Almost surely, 2^{10414430352000} is an apocalyptic number.

10414430352000 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 10414430352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345261033800).

10414430352000 is an abundant number, since it is smaller than the sum of its proper divisors (28276091715600).

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

10414430352000 is a wasteful number, since it uses less digits than its factorization.

10414430352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493941 (or 2493916 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10414430352000 its reverse (25303441401), we get a palindrome (10439733793401).

The spelling of 10414430352000 in words is "ten trillion, four hundred fourteen billion, four hundred thirty million, three hundred fifty-two thousand".