13400218272 has 192 divisors, whose sum is σ = 41489280000. Its totient is φ = 3707320320.

The previous prime is 13400218213. The next prime is 13400218277. The reversal of 13400218272 is 27281200431.

13400218272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13400218277) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3827979 + ... + 3831477.

It is an arithmetic number, because the mean of its divisors is an integer number (216090000).

Almost surely, 2^13400218272 is an apocalyptic number.

13400218272 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 13400218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744640000).

13400218272 is an abundant number, since it is smaller than the sum of its proper divisors (28089061728).

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

13400218272 is a wasteful number, since it uses less digits than its factorization.

13400218272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 13400218272 in words is "thirteen billion, four hundred million, two hundred eighteen thousand, two hundred seventy-two".