1432414314344 has 128 divisors (see below), whose sum is σ = 2953994158080. Its totient is φ = 647220864000.

The previous prime is 1432414314341. The next prime is 1432414314371. The reversal of 1432414314344 is 4434134142341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1432414314298 and 1432414314307.

It is not an unprimeable number, because it can be changed into a prime (1432414314341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347081609 + ... + 347085735.

It is an arithmetic number, because the mean of its divisors is an integer number (23078079360).

Almost surely, 2^{1432414314344} 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 1432414314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476997079040).

1432414314344 is an abundant number, since it is smaller than the sum of its proper divisors (1521579843736).

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

1432414314344 is a wasteful number, since it uses less digits than its factorization.

1432414314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4607 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

Adding to 1432414314344 its reverse (4434134142341), we get a palindrome (5866548456685).

The spelling of 1432414314344 in words is "one trillion, four hundred thirty-two billion, four hundred fourteen million, three hundred fourteen thousand, three hundred forty-four".