13441610741760 has 384 divisors, whose sum is σ = 48047834016000. Its totient is φ = 3564391661568.

The previous prime is 13441610741759. The next prime is 13441610741771. The reversal of 13441610741760 is 6714701614431.

13441610741760 is a `hidden beast` number, since 1 + 3 + 441 + 6 + 107 + 41 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49354119 + ... + 49625721.

It is an arithmetic number, because the mean of its divisors is an integer number (125124567750).

Almost surely, 2^{13441610741760} is an apocalyptic number.

13441610741760 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 13441610741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24023917008000).

13441610741760 is an abundant number, since it is smaller than the sum of its proper divisors (34606223274240).

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

13441610741760 is a wasteful number, since it uses less digits than its factorization.

13441610741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271818 (or 271792 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13441610741760 in words is "thirteen trillion, four hundred forty-one billion, six hundred ten million, seven hundred forty-one thousand, seven hundred sixty".