13409741721600 has 2808 divisors, whose sum is σ = 59788279287360. Its totient is φ = 2937411993600.

The previous prime is 13409741721589. The next prime is 13409741721601. The reversal of 13409741721600 is 612714790431.

It is a happy number.

13409741721600 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 9 + 7 + 4 + 17 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409741721601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 130191667149 + ... + 130191667251.

Almost surely, 2^{13409741721600} is an apocalyptic number.

13409741721600 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 13409741721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29894139643680).

13409741721600 is an abundant number, since it is smaller than the sum of its proper divisors (46378537565760).

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

13409741721600 is a wasteful number, since it uses less digits than its factorization.

13409741721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13409741721600 in words is "thirteen trillion, four hundred nine billion, seven hundred forty-one million, seven hundred twenty-one thousand, six hundred".