14434401340032 has 64 divisors (see below), whose sum is σ = 39377632072800. Its totient is φ = 4681427457024.

The previous prime is 14434401340013. The next prime is 14434401340087. The reversal of 14434401340032 is 23004310443441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14434401340032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14434401339975 and 14434401340002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507953182 + ... + 507981597.

Almost surely, 2^{14434401340032} is an apocalyptic number.

14434401340032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14434401340032 is an abundant number, since it is smaller than the sum of its proper divisors (24943230732768).

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

14434401340032 is a wasteful number, since it uses less digits than its factorization.

14434401340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015934833 (or 1015934821 counting only the distinct ones).

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

Adding to 14434401340032 its reverse (23004310443441), we get a palindrome (37438711783473).

The spelling of 14434401340032 in words is "fourteen trillion, four hundred thirty-four billion, four hundred one million, three hundred forty thousand, thirty-two".