13401622241280 has 2688 divisors, whose sum is σ = 60454685491200. Its totient is φ = 2725977784320.

The previous prime is 13401622241269. The next prime is 13401622241281. The reversal of 13401622241280 is 8214222610431.

13401622241280 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 1 + 622 + 2 + 4 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401622241281) 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 191 ways as a sum of consecutive naturals, for example, 50956738429 + ... + 50956738691.

It is an arithmetic number, because the mean of its divisors is an integer number (22490582400).

Almost surely, 2^{13401622241280} is an apocalyptic number.

13401622241280 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 13401622241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227342745600).

13401622241280 is an abundant number, since it is smaller than the sum of its proper divisors (47053063249920).

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

13401622241280 is a wasteful number, since it uses less digits than its factorization.

13401622241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13401622241280 in words is "thirteen trillion, four hundred one billion, six hundred twenty-two million, two hundred forty-one thousand, two hundred eighty".