34120400402143 has 12 divisors (see below), whose sum is σ = 37854748711080. Its totient is φ = 30728652856880.

The previous prime is 34120400402131. The next prime is 34120400402173.

34120400402143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34120400402143 - 2²⁹ = 34119863531231 is a prime.

It is a super-2 number, since 2×34120400402143² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120400402173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1317682288 + ... + 1317708181.

It is an arithmetic number, because the mean of its divisors is an integer number (3154562392590).

Almost surely, 2^{34120400402143} is an apocalyptic number.

34120400402143 is a deficient number, since it is larger than the sum of its proper divisors (3734348308937).

34120400402143 is a wasteful number, since it uses less digits than its factorization.

34120400402143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635390598 (or 2635390587 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 34120400 and 402143, that added together give a palindrome (34522543).

The spelling of 34120400402143 in words is "thirty-four trillion, one hundred twenty billion, four hundred million, four hundred two thousand, one hundred forty-three".