20430034334401 has 24 divisors (see below), whose sum is σ = 22180510430856. Its totient is φ = 18752173762560.

The previous prime is 20430034334393. The next prime is 20430034334407. The reversal of 20430034334401 is 10443343003402.

It can be written as a sum of positive squares in 4 ways, for example, as 1406479774401 + 19023554560000 = 1185951^2 + 4361600^2 .

It is not a de Polignac number, because 20430034334401 - 2³ = 20430034334393 is a prime.

It is a super-2 number, since 2×20430034334401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20430034334407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9584365 + ... + 11520421.

It is an arithmetic number, because the mean of its divisors is an integer number (924187934619).

Almost surely, 2^{20430034334401} is an apocalyptic number.

It is an amenable number.

20430034334401 is a deficient number, since it is larger than the sum of its proper divisors (1750476096455).

20430034334401 is a wasteful number, since it uses less digits than its factorization.

20430034334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936449 (or 1936402 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 20430034334401 its reverse (10443343003402), we get a palindrome (30873377337803).

The spelling of 20430034334401 in words is "twenty trillion, four hundred thirty billion, thirty-four million, three hundred thirty-four thousand, four hundred one".