14147429440 has 56 divisors (see below), whose sum is σ = 33710681880. Its totient is φ = 5655257088.

The previous prime is 14147429423. The next prime is 14147429447. The reversal of 14147429440 is 4492474141.

It can be written as a sum of positive squares in 4 ways, for example, as 115605504 + 14031823936 = 10752^2 + 118456^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14147429393 and 14147429402.

It is not an unprimeable number, because it can be changed into a prime (14147429447) by changing a digit.

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, 502456 + ... + 529864.

Almost surely, 2^14147429440 is an apocalyptic number.

14147429440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14147429440 is an abundant number, since it is smaller than the sum of its proper divisors (19563252440).

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

14147429440 is a wasteful number, since it uses less digits than its factorization.

14147429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29039 (or 29029 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 14147429440 in words is "fourteen billion, one hundred forty-seven million, four hundred twenty-nine thousand, four hundred forty".