14364041040000 has 2560 divisors, whose sum is σ = 58790556000000. Its totient is φ = 3480164352000.

The previous prime is 14364041039963. The next prime is 14364041040071. The reversal of 14364041040000 is 4014046341.

14364041040000 is a `hidden beast` number, since 1 + 4 + 3 + 640 + 4 + 10 + 4 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 96402959926 + ... + 96402960074.

Almost surely, 2^{14364041040000} is an apocalyptic number.

14364041040000 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 14364041040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29395278000000).

14364041040000 is an abundant number, since it is smaller than the sum of its proper divisors (44426514960000).

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

14364041040000 is an frugal number, since it uses more digits than its factorization.

14364041040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14364041040000 its reverse (4014046341), we get a palindrome (14368055086341).

The spelling of 14364041040000 in words is "fourteen trillion, three hundred sixty-four billion, forty-one million, forty thousand".