10344400100441 has 24 divisors (see below), whose sum is σ = 11714435632200. Its totient is φ = 9120972833280.

The previous prime is 10344400100407. The next prime is 10344400100459. The reversal of 10344400100441 is 14400100444301.

10344400100441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3097019227225 + 7247380873216 = 1759835^2 + 2692096^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10344400100441 is a prime.

It is a super-3 number, since 3×10344400100441³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10344400100441.

It is not an unprimeable number, because it can be changed into a prime (10344400100491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2225216 + ... + 5063633.

It is an arithmetic number, because the mean of its divisors is an integer number (488101484675).

Almost surely, 2^{10344400100441} is an apocalyptic number.

10344400100441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344400100441 is a deficient number, since it is larger than the sum of its proper divisors (1370035531759).

10344400100441 is a wasteful number, since it uses less digits than its factorization.

10344400100441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289225 (or 7289214 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10344400100441 its reverse (14400100444301), we get a palindrome (24744500544742).

The spelling of 10344400100441 in words is "ten trillion, three hundred forty-four billion, four hundred million, one hundred thousand, four hundred forty-one".