1414403142432 has 192 divisors, whose sum is σ = 4365254799360. Its totient is φ = 392639929344.

The previous prime is 1414403142431. The next prime is 1414403142517. The reversal of 1414403142432 is 2342413044141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1414403142393 and 1414403142402.

It is not an unprimeable number, because it can be changed into a prime (1414403142431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3475669 + ... + 3861227.

It is an arithmetic number, because the mean of its divisors is an integer number (22735702080).

Almost surely, 2^{1414403142432} is an apocalyptic number.

1414403142432 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 1414403142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182627399680).

1414403142432 is an abundant number, since it is smaller than the sum of its proper divisors (2950851656928).

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

1414403142432 is a wasteful number, since it uses less digits than its factorization.

1414403142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385735 (or 385727 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1414403142432 its reverse (2342413044141), we get a palindrome (3756816186573).

The spelling of 1414403142432 in words is "one trillion, four hundred fourteen billion, four hundred three million, one hundred forty-two thousand, four hundred thirty-two".