10401422410401 has 48 divisors (see below), whose sum is σ = 15624666329664. Its totient is φ = 6148319760000.

The previous prime is 10401422410391. The next prime is 10401422410403.

10401422410401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10401422410401 - 2³⁵ = 10367062672033 is a prime.

It is a super-5 number, since 5×10401422410401⁵ (a number of 66 digits) contains 55555 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10401422410403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339231 + ... + 4573611.

It is an arithmetic number, because the mean of its divisors is an integer number (325513881868).

Almost surely, 2^{10401422410401} is an apocalyptic number.

10401422410401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10401422410401 is a deficient number, since it is larger than the sum of its proper divisors (5223243919263).

10401422410401 is a wasteful number, since it uses less digits than its factorization.

10401422410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234574 (or 4234563 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1040142 and 2410401, that added together give a palindrome (3450543).

The spelling of 10401422410401 in words is "ten trillion, four hundred one billion, four hundred twenty-two million, four hundred ten thousand, four hundred one".