13412044800 has 1404 divisors, whose sum is σ = 63220234896. Its totient is φ = 2786918400.

The previous prime is 13412044747. The next prime is 13412044813. The reversal of 13412044800 is 844021431.

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 107 ways as a sum of consecutive naturals, for example, 1219276795 + ... + 1219276805.

Almost surely, 2^13412044800 is an apocalyptic number.

13412044800 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 13412044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610117448).

13412044800 is an abundant number, since it is smaller than the sum of its proper divisors (49808190096).

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

13412044800 is an equidigital number, since it uses as much as digits as its factorization.

13412044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 13412044800 in words is "thirteen billion, four hundred twelve million, forty-four thousand, eight hundred".