34042121040 has 80 divisors (see below), whose sum is σ = 105548298048. Its totient is φ = 9076374528.

The previous prime is 34042121027. The next prime is 34042121051. The reversal of 34042121040 is 4012124043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34042120998 and 34042121016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2833927 + ... + 2845913.

Almost surely, 2^34042121040 is an apocalyptic number.

34042121040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34042121040 is an abundant number, since it is smaller than the sum of its proper divisors (71506177008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34042121040 is a wasteful number, since it uses less digits than its factorization.

34042121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23836 (or 23830 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34042121040 its reverse (4012124043), we get a palindrome (38054245083).

The spelling of 34042121040 in words is "thirty-four billion, forty-two million, one hundred twenty-one thousand, forty".