1411322185728 has 480 divisors, whose sum is σ = 5188379676480. Its totient is φ = 372212858880.

The previous prime is 1411322185727. The next prime is 1411322185789. The reversal of 1411322185728 is 8275812231141.

1411322185728 is a `hidden beast` number, since 1 + 41 + 1 + 3 + 22 + 18 + 572 + 8 = 666.

It is a super-3 number, since 3×1411322185728³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1411322185727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15049063 + ... + 15142553.

It is an arithmetic number, because the mean of its divisors is an integer number (10809124326).

Almost surely, 2^{1411322185728} is an apocalyptic number.

1411322185728 is a gapful number since it is divisible by the number (18) 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 1411322185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594189838240).

1411322185728 is an abundant number, since it is smaller than the sum of its proper divisors (3777057490752).

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

1411322185728 is an equidigital number, since it uses as much as digits as its factorization.

1411322185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93545 (or 93516 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 1411322185728 in words is "one trillion, four hundred eleven billion, three hundred twenty-two million, one hundred eighty-five thousand, seven hundred twenty-eight".