34126033510040 has 32 divisors (see below), whose sum is σ = 78569239945680. Its totient is φ = 13332961928832.

The previous prime is 34126033510031. The next prime is 34126033510073. The reversal of 34126033510040 is 4001533062143.

It is a junction number, because it is equal to n+sod(n) for n = 34126033509979 and 34126033510006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9920356859 + ... + 9920360298.

Almost surely, 2^{34126033510040} is an apocalyptic number.

It is an amenable number.

34126033510040 is an abundant number, since it is smaller than the sum of its proper divisors (44443206435640).

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

34126033510040 is a wasteful number, since it uses less digits than its factorization.

34126033510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840717211 (or 19840717207 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 34126033510040 its reverse (4001533062143), we get a palindrome (38127566572183).

The spelling of 34126033510040 in words is "thirty-four trillion, one hundred twenty-six billion, thirty-three million, five hundred ten thousand, forty".