14001424404000 has 384 divisors, whose sum is σ = 50048264448000. Its totient is φ = 3393625472000.

The previous prime is 14001424403999. The next prime is 14001424404007. The reversal of 14001424404000 is 40442410041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14001424404007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1333590751 + ... + 1333601249.

It is an arithmetic number, because the mean of its divisors is an integer number (130334022000).

Almost surely, 2^{14001424404000} is an apocalyptic number.

14001424404000 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 14001424404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25024132224000).

14001424404000 is an abundant number, since it is smaller than the sum of its proper divisors (36046840044000).

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

14001424404000 is a wasteful number, since it uses less digits than its factorization.

14001424404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20641 (or 20623 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14001424404000 its reverse (40442410041), we get a palindrome (14041866814041).

The spelling of 14001424404000 in words is "fourteen trillion, one billion, four hundred twenty-four million, four hundred four thousand".