13404271200 has 288 divisors, whose sum is σ = 46765506816. Its totient is φ = 3326146560.

The previous prime is 13404271193. The next prime is 13404271217. The reversal of 13404271200 is 217240431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2039119 + ... + 2045681.

It is an arithmetic number, because the mean of its divisors is an integer number (162380232).

Almost surely, 2^13404271200 is an apocalyptic number.

13404271200 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 13404271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382753408).

13404271200 is an abundant number, since it is smaller than the sum of its proper divisors (33361235616).

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

13404271200 is a wasteful number, since it uses less digits than its factorization.

13404271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 13404271200 in words is "thirteen billion, four hundred four million, two hundred seventy-one thousand, two hundred".