13358440166400 has 3168 divisors, whose sum is σ = 59391950671872. Its totient is φ = 2911931596800.

The previous prime is 13358440166369. The next prime is 13358440166419. The reversal of 13358440166400 is 466104485331.

13358440166400 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 8 + 440 + 166 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 124845235147 + ... + 124845235253.

Almost surely, 2^{13358440166400} is an apocalyptic number.

13358440166400 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 13358440166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29695975335936).

13358440166400 is an abundant number, since it is smaller than the sum of its proper divisors (46033510505472).

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

13358440166400 is a wasteful number, since it uses less digits than its factorization.

13358440166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13358440166400 in words is "thirteen trillion, three hundred fifty-eight billion, four hundred forty million, one hundred sixty-six thousand, four hundred".