14020404424000 has 224 divisors, whose sum is σ = 39591977626656. Its totient is φ = 4872248524800.

The previous prime is 14020404423973. The next prime is 14020404424027. The reversal of 14020404424000 is 42440402041.

It is an interprime number because it is at equal distance from previous prime (14020404423973) and next prime (14020404424027).

It can be written as a sum of positive squares in 16 ways, for example, as 12232814031936 + 1787590392064 = 3497544^2 + 1337008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 2197047 + ... + 5733046.

It is an arithmetic number, because the mean of its divisors is an integer number (176749900119).

Almost surely, 2^{14020404424000} is an apocalyptic number.

14020404424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14020404424000 is an abundant number, since it is smaller than the sum of its proper divisors (25571573202656).

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

14020404424000 is a wasteful number, since it uses less digits than its factorization.

14020404424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930150 (or 7930130 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 14020404424000 its reverse (42440402041), we get a palindrome (14062844826041).

The spelling of 14020404424000 in words is "fourteen trillion, twenty billion, four hundred four million, four hundred twenty-four thousand".