13415024000 has 384 divisors, whose sum is σ = 39508223040. Its totient is φ = 4515840000.

The previous prime is 13415023981. The next prime is 13415024057. The reversal of 13415024000 is 42051431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55663880 + ... + 55664120.

Almost surely, 2^13415024000 is an apocalyptic number.

13415024000 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 13415024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754111520).

13415024000 is an abundant number, since it is smaller than the sum of its proper divisors (26093199040).

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

13415024000 is an equidigital number, since it uses as much as digits as its factorization.

13415024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13415024000 its reverse (42051431), we get a palindrome (13457075431).

The spelling of 13415024000 in words is "thirteen billion, four hundred fifteen million, twenty-four thousand".