14424311040 has 288 divisors, whose sum is σ = 47074922496. Its totient is φ = 3763445760.

The previous prime is 14424311039. The next prime is 14424311053. The reversal of 14424311040 is 4011342441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14424311040.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 53226105 + ... + 53226375.

It is an arithmetic number, because the mean of its divisors is an integer number (163454592).

Almost surely, 2^14424311040 is an apocalyptic number.

14424311040 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 14424311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23537461248).

14424311040 is an abundant number, since it is smaller than the sum of its proper divisors (32650611456).

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

14424311040 is a wasteful number, since it uses less digits than its factorization.

14424311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14424311040 its reverse (4011342441), we get a palindrome (18435653481).

The spelling of 14424311040 in words is "fourteen billion, four hundred twenty-four million, three hundred eleven thousand, forty".