13403400384 has 336 divisors, whose sum is σ = 40430297600. Its totient is φ = 3914127360.

The previous prime is 13403400349. The next prime is 13403400401. The reversal of 13403400384 is 48300430431.

13403400384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13403400384² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122966922 + ... + 122967030.

Almost surely, 2^13403400384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13403400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215148800).

13403400384 is an abundant number, since it is smaller than the sum of its proper divisors (27026897216).

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

13403400384 is a wasteful number, since it uses less digits than its factorization.

13403400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 13403400384 in words is "thirteen billion, four hundred three million, four hundred thousand, three hundred eighty-four".