14006460420400 has 60 divisors (see below), whose sum is σ = 38457738476272. Its totient is φ = 4802215000320.

The previous prime is 14006460420361. The next prime is 14006460420439. The reversal of 14006460420400 is 402406460041.

It is an interprime number because it is at equal distance from previous prime (14006460420361) and next prime (14006460420439).

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 11 ways as a sum of consecutive naturals, for example, 2501150847 + ... + 2501156446.

Almost surely, 2^{14006460420400} is an apocalyptic number.

14006460420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14006460420400 is an abundant number, since it is smaller than the sum of its proper divisors (24451278055872).

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

14006460420400 is a wasteful number, since it uses less digits than its factorization.

14006460420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002307318 (or 5002307307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 14006460420400 its reverse (402406460041), we get a palindrome (14408866880441).

The spelling of 14006460420400 in words is "fourteen trillion, six billion, four hundred sixty million, four hundred twenty thousand, four hundred".