10340400404301 has 48 divisors (see below), whose sum is σ = 15518638840320. Its totient is φ = 6121154959920.

The previous prime is 10340400404297. The next prime is 10340400404303.

10340400404301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10340400404301 - 2² = 10340400404297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340400404303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20526720 + ... + 21024438.

It is an arithmetic number, because the mean of its divisors is an integer number (323304975840).

Almost surely, 2^{10340400404301} is an apocalyptic number.

10340400404301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10340400404301 is a deficient number, since it is larger than the sum of its proper divisors (5178238436019).

10340400404301 is an frugal number, since it uses more digits than its factorization.

10340400404301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497820 (or 497776 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 10340400 and 404301, that added together give a palindrome (10744701).

The spelling of 10340400404301 in words is "ten trillion, three hundred forty billion, four hundred million, four hundred four thousand, three hundred one".