34043414040 has 96 divisors (see below), whose sum is σ = 110669176800. Its totient is φ = 9075939840.

The previous prime is 34043414021. The next prime is 34043414047. The reversal of 34043414040 is 4041434043.

It is a junction number, because it is equal to n+sod(n) for n = 34043413995 and 34043414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043414047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1779325 + ... + 1798355.

It is an arithmetic number, because the mean of its divisors is an integer number (1152803925).

Almost surely, 2^34043414040 is an apocalyptic number.

34043414040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34043414040 is an abundant number, since it is smaller than the sum of its proper divisors (76625762760).

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

34043414040 is a wasteful number, since it uses less digits than its factorization.

34043414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24017 (or 24010 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34043414040 its reverse (4041434043), we get a palindrome (38084848083).

The spelling of 34043414040 in words is "thirty-four billion, forty-three million, four hundred fourteen thousand, forty".