13401198423072 has 144 divisors (see below), whose sum is σ = 39529213319232. Its totient is φ = 4466152131840.

The previous prime is 13401198423049. The next prime is 13401198423091. The reversal of 13401198423072 is 27032489110431.

13401198423072 is a `hidden beast` number, since 1 + 3 + 40 + 119 + 8 + 423 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38371797 + ... + 38719467.

It is an arithmetic number, because the mean of its divisors is an integer number (274508425828).

Almost surely, 2^{13401198423072} is an apocalyptic number.

13401198423072 is a gapful number since it is divisible by the number (12) 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 13401198423072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764606659616).

13401198423072 is an abundant number, since it is smaller than the sum of its proper divisors (26128014896160).

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

13401198423072 is an equidigital number, since it uses as much as digits as its factorization.

13401198423072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352653 (or 352633 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13401198423072 in words is "thirteen trillion, four hundred one billion, one hundred ninety-eight million, four hundred twenty-three thousand, seventy-two".