13415084344200 has 768 divisors, whose sum is σ = 52444143360000. Its totient is φ = 2755591372800.

The previous prime is 13415084344199. The next prime is 13415084344213. The reversal of 13415084344200 is 244348051431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6717617602 + ... + 6717619598.

It is an arithmetic number, because the mean of its divisors is an integer number (68286645000).

Almost surely, 2^{13415084344200} is an apocalyptic number.

13415084344200 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 13415084344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26222071680000).

13415084344200 is an abundant number, since it is smaller than the sum of its proper divisors (39029059015800).

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

13415084344200 is a wasteful number, since it uses less digits than its factorization.

13415084344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 13415084344200 in words is "thirteen trillion, four hundred fifteen billion, eighty-four million, three hundred forty-four thousand, two hundred".