14401049040 has 360 divisors, whose sum is σ = 56982781440. Its totient is φ = 3249372672.

The previous prime is 14401049023. The next prime is 14401049063. The reversal of 14401049040 is 4094010441.

14401049040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 14401048995 and 14401049013.

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 71 ways as a sum of consecutive naturals, for example, 2784537 + ... + 2789703.

It is an arithmetic number, because the mean of its divisors is an integer number (158285504).

Almost surely, 2^14401049040 is an apocalyptic number.

14401049040 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 14401049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28491390720).

14401049040 is an abundant number, since it is smaller than the sum of its proper divisors (42581732400).

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

14401049040 is a wasteful number, since it uses less digits than its factorization.

14401049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14401049040 its reverse (4094010441), we get a palindrome (18495059481).

The spelling of 14401049040 in words is "fourteen billion, four hundred one million, forty-nine thousand, forty".