10681088341440 has 896 divisors, whose sum is σ = 39112852838400. Its totient is φ = 2444313231360.

The previous prime is 10681088341423. The next prime is 10681088341481. The reversal of 10681088341440 is 4414388018601.

It is a super-2 number, since 2×10681088341440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10681088341440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8286336316 + ... + 8286337604.

Almost surely, 2^{10681088341440} is an apocalyptic number.

10681088341440 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 10681088341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556426419200).

10681088341440 is an abundant number, since it is smaller than the sum of its proper divisors (28431764496960).

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

10681088341440 is a wasteful number, since it uses less digits than its factorization.

10681088341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 10681088341440 in words is "ten trillion, six hundred eighty-one billion, eighty-eight million, three hundred forty-one thousand, four hundred forty".