13724424000 has 896 divisors, whose sum is σ = 59721292800. Its totient is φ = 3019161600.

The previous prime is 13724423981. The next prime is 13724424013. The reversal of 13724424000 is 42442731.

13724424000 is a `hidden beast` number, since 13 + 7 + 244 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43847844 + ... + 43848156.

Almost surely, 2^13724424000 is an apocalyptic number.

13724424000 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 13724424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29860646400).

13724424000 is an abundant number, since it is smaller than the sum of its proper divisors (45996868800).

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

13724424000 is a wasteful number, since it uses less digits than its factorization.

13724424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 13724424000 its reverse (42442731), we get a palindrome (13766866731).

The spelling of 13724424000 in words is "thirteen billion, seven hundred twenty-four million, four hundred twenty-four thousand".