10422877822401 has 32 divisors (see below), whose sum is σ = 15368727628800. Its totient is φ = 6230643480000.

The previous prime is 10422877822391. The next prime is 10422877822451.

10422877822401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10422877822401 - 2²⁷ = 10422743604673 is a prime.

It is a super-2 number, since 2×10422877822401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10422877822451) 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, 5255326 + ... + 6961623.

It is an arithmetic number, because the mean of its divisors is an integer number (480272738400).

Almost surely, 2^{10422877822401} is an apocalyptic number.

10422877822401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10422877822401 is a deficient number, since it is larger than the sum of its proper divisors (4945849806399).

10422877822401 is a wasteful number, since it uses less digits than its factorization.

10422877822401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217317.

The product of its (nonzero) digits is 802816, while the sum is 48.

It can be divided in two parts, 1042287 and 7822401, that added together give a palindrome (8864688).

The spelling of 10422877822401 in words is "ten trillion, four hundred twenty-two billion, eight hundred seventy-seven million, eight hundred twenty-two thousand, four hundred one".