10422344322401 has 8 divisors (see below), whose sum is σ = 11371080947808. Its totient is φ = 9473816160000.

The previous prime is 10422344322349. The next prime is 10422344322421.

It is a happy number.

10422344322401 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10422344322401 is a prime.

It is a super-2 number, since 2×10422344322401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10422344322421) 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 7 ways as a sum of consecutive naturals, for example, 52011200 + ... + 52211201.

It is an arithmetic number, because the mean of its divisors is an integer number (1421385118476).

Almost surely, 2^{10422344322401} is an apocalyptic number.

10422344322401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10422344322401 is a deficient number, since it is larger than the sum of its proper divisors (948736625407).

10422344322401 is a wasteful number, since it uses less digits than its factorization.

10422344322401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104231503.

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

It can be divided in two parts, 1042234 and 4322401, that added together give a palindrome (5364635).

The spelling of 10422344322401 in words is "ten trillion, four hundred twenty-two billion, three hundred forty-four million, three hundred twenty-two thousand, four hundred one".