14408712000 has 448 divisors, whose sum is σ = 54186612480. Its totient is φ = 3746304000.

The previous prime is 14408711971. The next prime is 14408712007. The reversal of 14408712000 is 21780441.

It is a super-2 number, since 2×14408712000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14408712007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8855187 + ... + 8856813.

It is an arithmetic number, because the mean of its divisors is an integer number (120952260).

Almost surely, 2^14408712000 is an apocalyptic number.

14408712000 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 14408712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27093306240).

14408712000 is an abundant number, since it is smaller than the sum of its proper divisors (39777900480).

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

14408712000 is a wasteful number, since it uses less digits than its factorization.

14408712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 14408712000 in words is "fourteen billion, four hundred eight million, seven hundred twelve thousand".