14403234412032 has 320 divisors, whose sum is σ = 39070819307520. Its totient is φ = 4714536960000.

The previous prime is 14403234411977. The next prime is 14403234412087. The reversal of 14403234412032 is 23021443230441.

It is an interprime number because it is at equal distance from previous prime (14403234411977) and next prime (14403234412087).

It is a junction number, because it is equal to n+sod(n) for n = 14403234411984 and 14403234412002.

It is a congruent number.

It is an unprimeable number.

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, 9791457057 + ... + 9791458527.

It is an arithmetic number, because the mean of its divisors is an integer number (122096310336).

Almost surely, 2^{14403234412032} is an apocalyptic number.

14403234412032 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 14403234412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535409653760).

14403234412032 is an abundant number, since it is smaller than the sum of its proper divisors (24667584895488).

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

14403234412032 is a wasteful number, since it uses less digits than its factorization.

14403234412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 14403234412032 its reverse (23021443230441), we get a palindrome (37424677642473).

The spelling of 14403234412032 in words is "fourteen trillion, four hundred three billion, two hundred thirty-four million, four hundred twelve thousand, thirty-two".