13415424000 has 448 divisors, whose sum is σ = 48825009792. Its totient is φ = 3244032000.

The previous prime is 13415423977. The next prime is 13415424007. The reversal of 13415424000 is 42451431.

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 (13415424007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33791802 + ... + 33792198.

Almost surely, 2^13415424000 is an apocalyptic number.

13415424000 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 13415424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412504896).

13415424000 is an abundant number, since it is smaller than the sum of its proper divisors (35409585792).

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

13415424000 is an equidigital number, since it uses as much as digits as its factorization.

13415424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13415424000 its reverse (42451431), we get a palindrome (13457875431).

The spelling of 13415424000 in words is "thirteen billion, four hundred fifteen million, four hundred twenty-four thousand".