1413441411200 has 768 divisors, whose sum is σ = 4508111462400. Its totient is φ = 425608888320.

The previous prime is 1413441411181. The next prime is 1413441411229. The reversal of 1413441411200 is 21141443141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1413441411200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1600725959 + ... + 1600726841.

It is an arithmetic number, because the mean of its divisors is an integer number (5869936800).

Almost surely, 2^{1413441411200} is an apocalyptic number.

1413441411200 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 1413441411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254055731200).

1413441411200 is an abundant number, since it is smaller than the sum of its proper divisors (3094670051200).

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

1413441411200 is a wasteful number, since it uses less digits than its factorization.

1413441411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1413441411200 its reverse (21141443141), we get a palindrome (1434582854341).

The spelling of 1413441411200 in words is "one trillion, four hundred thirteen billion, four hundred forty-one million, four hundred eleven thousand, two hundred".