14271414432 has 48 divisors (see below), whose sum is σ = 40868144352. Its totient is φ = 4324670720.

The previous prime is 14271414403. The next prime is 14271414461. The reversal of 14271414432 is 23441417241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14271414403) and next prime (14271414461).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 14271414393 and 14271414402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6756243 + ... + 6758354.

It is an arithmetic number, because the mean of its divisors is an integer number (851419674).

Almost surely, 2^14271414432 is an apocalyptic number.

14271414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14271414432 is an abundant number, since it is smaller than the sum of its proper divisors (26596729920).

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

14271414432 is a wasteful number, since it uses less digits than its factorization.

14271414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514621 (or 13514613 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The spelling of 14271414432 in words is "fourteen billion, two hundred seventy-one million, four hundred fourteen thousand, four hundred thirty-two".