14401388016 has 120 divisors (see below), whose sum is σ = 40622400000. Its totient is φ = 4762682496.

The previous prime is 14401388009. The next prime is 14401388083. The reversal of 14401388016 is 61088310441.

It is a happy number.

14401388016 is a `hidden beast` number, since 1 + 440 + 138 + 80 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17164525 + ... + 17165363.

It is an arithmetic number, because the mean of its divisors is an integer number (338520000).

Almost surely, 2^14401388016 is an apocalyptic number.

14401388016 is a gapful number since it is divisible by the number (16) 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 14401388016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200000).

14401388016 is an abundant number, since it is smaller than the sum of its proper divisors (26221011984).

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

14401388016 is a wasteful number, since it uses less digits than its factorization.

14401388016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 14401388016 its reverse (61088310441), we get a palindrome (75489698457).

The spelling of 14401388016 in words is "fourteen billion, four hundred one million, three hundred eighty-eight thousand, sixteen".