1411141340224 has 224 divisors, whose sum is σ = 3549639352320. Its totient is φ = 540633139200.

The previous prime is 1411141340171. The next prime is 1411141340299. The reversal of 1411141340224 is 4220431411141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1411141340192 and 1411141340201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138900457 + ... + 138910615.

Almost surely, 2^{1411141340224} is an apocalyptic number.

1411141340224 is a gapful number since it is divisible by the number (14) 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 1411141340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774819676160).

1411141340224 is an abundant number, since it is smaller than the sum of its proper divisors (2138498012096).

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

1411141340224 is a wasteful number, since it uses less digits than its factorization.

1411141340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1411141340224 its reverse (4220431411141), we get a palindrome (5631572751365).

The spelling of 1411141340224 in words is "one trillion, four hundred eleven billion, one hundred forty-one million, three hundred forty thousand, two hundred twenty-four".