34430040121323 has 24 divisors (see below), whose sum is σ = 58256394419520. Its totient is φ = 17885735127120.

The previous prime is 34430040121313. The next prime is 34430040121327. The reversal of 34430040121323 is 32312104003443.

It is a happy number.

It is not a de Polignac number, because 34430040121323 - 2⁴ = 34430040121307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34430040121327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10646269293 + ... + 10646272526.

It is an arithmetic number, because the mean of its divisors is an integer number (2427349767480).

Almost surely, 2^{34430040121323} is an apocalyptic number.

34430040121323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34430040121323 is a deficient number, since it is larger than the sum of its proper divisors (23826354298197).

34430040121323 is a wasteful number, since it uses less digits than its factorization.

34430040121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292541847 (or 21292541840 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34430040121323 its reverse (32312104003443), we get a palindrome (66742144124766).

The spelling of 34430040121323 in words is "thirty-four trillion, four hundred thirty billion, forty million, one hundred twenty-one thousand, three hundred twenty-three".