13409323200 has 1008 divisors, whose sum is σ = 60991374080. Its totient is φ = 2821754880.

The previous prime is 13409323199. The next prime is 13409323211. The reversal of 13409323200 is 232390431.

It is a happy number.

13409323200 is a `hidden beast` number, since 1 + 340 + 93 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×13409323200³ (a number of 31 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 35380611 + ... + 35380989.

Almost surely, 2^13409323200 is an apocalyptic number.

13409323200 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 13409323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30495687040).

13409323200 is an abundant number, since it is smaller than the sum of its proper divisors (47582050880).

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

13409323200 is a wasteful number, since it uses less digits than its factorization.

13409323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 13409323200 in words is "thirteen billion, four hundred nine million, three hundred twenty-three thousand, two hundred".