13713408000 has 576 divisors, whose sum is σ = 52344714240. Its totient is φ = 3538944000.

The previous prime is 13713407999. The next prime is 13713408019. The reversal of 13713408000 is 80431731.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442367985 + ... + 442368015.

It is an arithmetic number, because the mean of its divisors is an integer number (90876240).

Almost surely, 2^13713408000 is an apocalyptic number.

13713408000 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 13713408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172357120).

13713408000 is an abundant number, since it is smaller than the sum of its proper divisors (38631306240).

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

13713408000 is an frugal number, since it uses more digits than its factorization.

13713408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 13713408000 its reverse (80431731), we get a palindrome (13793839731).

The spelling of 13713408000 in words is "thirteen billion, seven hundred thirteen million, four hundred eight thousand".