1411114471200 has 432 divisors, whose sum is σ = 6021312111360. Its totient is φ = 303567298560.

The previous prime is 1411114471177. The next prime is 1411114471211. The reversal of 1411114471200 is 21744111141.

1411114471200 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 11 + 447 + 1 + 200 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33321 + ... + 1680279.

It is an arithmetic number, because the mean of its divisors is an integer number (13938222480).

Almost surely, 2^{1411114471200} is an apocalyptic number.

1411114471200 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 1411114471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010656055680).

1411114471200 is an abundant number, since it is smaller than the sum of its proper divisors (4610197640160).

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

1411114471200 is a wasteful number, since it uses less digits than its factorization.

1411114471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647009 (or 1646993 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 1411114471200 its reverse (21744111141), we get a palindrome (1432858582341).

The spelling of 1411114471200 in words is "one trillion, four hundred eleven billion, one hundred fourteen million, four hundred seventy-one thousand, two hundred".