14013024320400 has 240 divisors, whose sum is σ = 51405512598528. Its totient is φ = 3196452672000.

The previous prime is 14013024320359. The next prime is 14013024320401. The reversal of 14013024320400 is 402342031041.

It is a tau number, because it is divible by the number of its divisors (240).

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 (14013024320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425605 + ... + 5823195.

Almost surely, 2^{14013024320400} is an apocalyptic number.

14013024320400 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 14013024320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25702756299264).

14013024320400 is an abundant number, since it is smaller than the sum of its proper divisors (37392488278128).

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

14013024320400 is a wasteful number, since it uses less digits than its factorization.

14013024320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398110 (or 3398099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14013024320400 its reverse (402342031041), we get a palindrome (14415366351441).

The spelling of 14013024320400 in words is "fourteen trillion, thirteen billion, twenty-four million, three hundred twenty thousand, four hundred".