1414113443232 has 384 divisors, whose sum is σ = 4693925376000. Its totient is φ = 363442692096.

The previous prime is 1414113443231. The next prime is 1414113443363. The reversal of 1414113443232 is 2323443114141.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1414113443193 and 1414113443202.

It is not an unprimeable number, because it can be changed into a prime (1414113443231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40214394 + ... + 40249542.

It is an arithmetic number, because the mean of its divisors is an integer number (12223764000).

Almost surely, 2^{1414113443232} is an apocalyptic number.

1414113443232 is a gapful number since it is divisible by the number (12) 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 1414113443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346962688000).

1414113443232 is an abundant number, since it is smaller than the sum of its proper divisors (3279811932768).

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

1414113443232 is a wasteful number, since it uses less digits than its factorization.

1414113443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35348 (or 35340 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 1414113443232 its reverse (2323443114141), we get a palindrome (3737556557373).

The spelling of 1414113443232 in words is "one trillion, four hundred fourteen billion, one hundred thirteen million, four hundred forty-three thousand, two hundred thirty-two".