10441633665360 has 160 divisors (see below), whose sum is σ = 33282901008000. Its totient is φ = 2706002601984.

The previous prime is 10441633665349. The next prime is 10441633665371. The reversal of 10441633665360 is 6356633614401.

It is a happy number.

10441633665360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10441633665349) and next prime (10441633665371).

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

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, 6885391 + ... + 8263889.

It is an arithmetic number, because the mean of its divisors is an integer number (208018131300).

Almost surely, 2^{10441633665360} is an apocalyptic number.

10441633665360 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 10441633665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641450504000).

10441633665360 is an abundant number, since it is smaller than the sum of its proper divisors (22841267342640).

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

10441633665360 is a wasteful number, since it uses less digits than its factorization.

10441633665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379405 (or 1379399 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 10441633665360 in words is "ten trillion, four hundred forty-one billion, six hundred thirty-three million, six hundred sixty-five thousand, three hundred sixty".