13408804800 has 420 divisors, whose sum is σ = 49676593560. Its totient is φ = 3547514880.

The previous prime is 13408804781. The next prime is 13408804807. The reversal of 13408804800 is 840880431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408804807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20346871 + ... + 20347529.

Almost surely, 2^13408804800 is an apocalyptic number.

13408804800 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 13408804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838296780).

13408804800 is an abundant number, since it is smaller than the sum of its proper divisors (36267788760).

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

13408804800 is a wasteful number, since it uses less digits than its factorization.

13408804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 13408804800 in words is "thirteen billion, four hundred eight million, eight hundred four thousand, eight hundred".