14164126400 has 84 divisors (see below), whose sum is σ = 34965189912. Its totient is φ = 5647349760.

The previous prime is 14164126387. The next prime is 14164126421. The reversal of 14164126400 is 462146141.

14164126400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 486659 + ... + 514941.

Almost surely, 2^14164126400 is an apocalyptic number.

14164126400 is a gapful number since it is divisible by the number (10) 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 14164126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482594956).

14164126400 is an abundant number, since it is smaller than the sum of its proper divisors (20801063512).

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

14164126400 is a wasteful number, since it uses less digits than its factorization.

14164126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28618 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 14164126400 in words is "fourteen billion, one hundred sixty-four million, one hundred twenty-six thousand, four hundred".