10441355314401 has 18 divisors (see below), whose sum is σ = 16577689017890. Its totient is φ = 6328094129280.

The previous prime is 10441355314339. The next prime is 10441355314451.

10441355314401 is a `hidden beast` number, since 1 + 0 + 44 + 13 + 553 + 14 + 40 + 1 = 666.

10441355314401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 9557001273600 + 884354040801 = 3091440^2 + 940401^2 .

It is not a de Polignac number, because 10441355314401 - 2¹⁰ = 10441355313377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10441355314451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4794009616 + ... + 4794011793.

Almost surely, 2^{10441355314401} is an apocalyptic number.

10441355314401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10441355314401 is a deficient number, since it is larger than the sum of its proper divisors (6136333703489).

10441355314401 is a wasteful number, since it uses less digits than its factorization.

10441355314401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588021437 (or 9588021423 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1044135 and 5314401, that added together give a palindrome (6358536).

The spelling of 10441355314401 in words is "ten trillion, four hundred forty-one billion, three hundred fifty-five million, three hundred fourteen thousand, four hundred one".