13408673347400 has 48 divisors (see below), whose sum is σ = 31175655969600. Its totient is φ = 5363384962880.

The previous prime is 13408673347387. The next prime is 13408673347403. The reversal of 13408673347400 is 474337680431.

13408673347400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (13408673347403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13095221 + ... + 14081979.

It is an arithmetic number, because the mean of its divisors is an integer number (649492832700).

Almost surely, 2^{13408673347400} is an apocalyptic number.

13408673347400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13408673347400 is an abundant number, since it is smaller than the sum of its proper divisors (17766982622200).

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

13408673347400 is a wasteful number, since it uses less digits than its factorization.

13408673347400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054718 (or 1054709 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 50.

The spelling of 13408673347400 in words is "thirteen trillion, four hundred eight billion, six hundred seventy-three million, three hundred forty-seven thousand, four hundred".