10404344340401 has 32 divisors (see below), whose sum is σ = 11704420567296. Its totient is φ = 9169130880000.

The previous prime is 10404344340391. The next prime is 10404344340437.

10404344340401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10404344340401 - 2³⁰ = 10403270598577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10404344340461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10642916 + ... + 11579306.

It is an arithmetic number, because the mean of its divisors is an integer number (365763142728).

Almost surely, 2^{10404344340401} is an apocalyptic number.

10404344340401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10404344340401 is a deficient number, since it is larger than the sum of its proper divisors (1300076226895).

10404344340401 is a wasteful number, since it uses less digits than its factorization.

10404344340401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936713.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 1040434 and 4340401, that added together give a palindrome (5380835).

The spelling of 10404344340401 in words is "ten trillion, four hundred four billion, three hundred forty-four million, three hundred forty thousand, four hundred one".