10013434441200 has 360 divisors, whose sum is σ = 36783662607120. Its totient is φ = 2518213017600.

The previous prime is 10013434441193. The next prime is 10013434441201. The reversal of 10013434441200 is 214443431001.

10013434441200 is a `hidden beast` number, since 1 + 0 + 0 + 13 + 4 + 3 + 4 + 441 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013434441201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3373920 + ... + 5604480.

Almost surely, 2^{10013434441200} is an apocalyptic number.

10013434441200 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 10013434441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391831303560).

10013434441200 is an abundant number, since it is smaller than the sum of its proper divisors (26770228165920).

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

10013434441200 is a wasteful number, since it uses less digits than its factorization.

10013434441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230657 (or 2230643 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10013434441200 its reverse (214443431001), we get a palindrome (10227877872201).

The spelling of 10013434441200 in words is "ten trillion, thirteen billion, four hundred thirty-four million, four hundred forty-one thousand, two hundred".