10430022003401 has 48 divisors (see below), whose sum is σ = 14088981132288. Its totient is φ = 7497803102400.

The previous prime is 10430022003361. The next prime is 10430022003403.

10430022003401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10430022003401 - 2⁶ = 10430022003337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10430022003403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22504316 + ... + 22963106.

It is an arithmetic number, because the mean of its divisors is an integer number (293520440256).

Almost surely, 2^{10430022003401} is an apocalyptic number.

10430022003401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10430022003401 is a deficient number, since it is larger than the sum of its proper divisors (3658959128887).

10430022003401 is a wasteful number, since it uses less digits than its factorization.

10430022003401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460582 (or 460569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1043002 and 2003401, that added together give a palindrome (3046403).

The spelling of 10430022003401 in words is "ten trillion, four hundred thirty billion, twenty-two million, three thousand, four hundred one".