1411111131144 has 384 divisors, whose sum is σ = 4306993689600. Its totient is φ = 382518259200.

The previous prime is 1411111131127. The next prime is 1411111131149. The reversal of 1411111131144 is 4411311111141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1411111131149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158138667 + ... + 158147589.

It is an arithmetic number, because the mean of its divisors is an integer number (11216129400).

Almost surely, 2^{1411111131144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411111131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153496844800).

1411111131144 is an abundant number, since it is smaller than the sum of its proper divisors (2895882558456).

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

1411111131144 is a wasteful number, since it uses less digits than its factorization.

1411111131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9097 (or 9082 counting only the distinct ones).

The product of its digits is 192, while the sum is 24.

Adding to 1411111131144 its reverse (4411311111141), we get a palindrome (5822422242285).

The spelling of 1411111131144 in words is "one trillion, four hundred eleven billion, one hundred eleven million, one hundred thirty-one thousand, one hundred forty-four".