10726240441360 has 160 divisors (see below), whose sum is σ = 27000872271072. Its totient is φ = 3947612897280.

The previous prime is 10726240441349. The next prime is 10726240441417. The reversal of 10726240441360 is 6314404262701.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1162981069056 + 9563259372304 = 1078416^2 + 3092452^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 19697550 + ... + 20234770.

Almost surely, 2^{10726240441360} is an apocalyptic number.

10726240441360 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 10726240441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500436135536).

10726240441360 is an abundant number, since it is smaller than the sum of its proper divisors (16274631829712).

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

10726240441360 is a wasteful number, since it uses less digits than its factorization.

10726240441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537581 (or 537575 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 10726240441360 in words is "ten trillion, seven hundred twenty-six billion, two hundred forty million, four hundred forty-one thousand, three hundred sixty".