13457044016640 has 2880 divisors, whose sum is σ = 59100543216000. Its totient is φ = 2826901389312.

The previous prime is 13457044016597. The next prime is 13457044016699. The reversal of 13457044016640 is 4661044075431.

13457044016640 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 7 + 0 + 440 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151202741716 + ... + 151202741804.

It is an arithmetic number, because the mean of its divisors is an integer number (20521021950).

Almost surely, 2^{13457044016640} is an apocalyptic number.

13457044016640 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 13457044016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29550271608000).

13457044016640 is an abundant number, since it is smaller than the sum of its proper divisors (45643499199360).

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

13457044016640 is an equidigital number, since it uses as much as digits as its factorization.

13457044016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13457044016640 in words is "thirteen trillion, four hundred fifty-seven billion, forty-four million, sixteen thousand, six hundred forty".