14414400000000 has 2808 divisors, whose sum is σ = 69879432971712. Its totient is φ = 2764800000000.

The previous prime is 14414399999977. The next prime is 14414400000037. The reversal of 14414400000000 is 441441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1108799999994 + ... + 1108800000006.

Almost surely, 2^{14414400000000} is an apocalyptic number.

14414400000000 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 14414400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34939716485856).

14414400000000 is an abundant number, since it is smaller than the sum of its proper divisors (55465032971712).

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

14414400000000 is an frugal number, since it uses more digits than its factorization.

14414400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14414400000000 its reverse (441441), we get a palindrome (14414400441441).

It can be divided in two parts, 144 and 14400000000, that multiplied together give a 4-th power (2073600000000 = 1200⁴).

The spelling of 14414400000000 in words is "fourteen trillion, four hundred fourteen billion, four hundred million", and thus it is an aban number.