14040011400000 has 336 divisors, whose sum is σ = 46487200253760. Its totient is φ = 3739507200000.

The previous prime is 14040011399863. The next prime is 14040011400007. The reversal of 14040011400000 is 411004041.

It is a super-2 number, since 2×14040011400000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040011400007) 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 47 ways as a sum of consecutive naturals, for example, 515386380 + ... + 515413620.

It is an arithmetic number, because the mean of its divisors is an integer number (138354762660).

Almost surely, 2^{14040011400000} is an apocalyptic number.

14040011400000 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 14040011400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243600126880).

14040011400000 is an abundant number, since it is smaller than the sum of its proper divisors (32447188853760).

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

14040011400000 is an frugal number, since it uses more digits than its factorization.

14040011400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28140 (or 28110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14040011400000 its reverse (411004041), we get a palindrome (14040422404041).

The spelling of 14040011400000 in words is "fourteen trillion, forty billion, eleven million, four hundred thousand".