34033608000040 has 256 divisors, whose sum is σ = 86038702848000. Its totient is φ = 12010816097280.

The previous prime is 34033608000037. The next prime is 34033608000089. The reversal of 34033608000040 is 4000080633043.

It is a junction number, because it is equal to n+sod(n) for n = 34033607999966 and 34033608000011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3462565846 + ... + 3462575674.

It is an arithmetic number, because the mean of its divisors is an integer number (336088683000).

Almost surely, 2^{34033608000040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34033608000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43019351424000).

34033608000040 is an abundant number, since it is smaller than the sum of its proper divisors (52005094847960).

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

34033608000040 is a wasteful number, since it uses less digits than its factorization.

34033608000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 34033608000040 its reverse (4000080633043), we get a palindrome (38033688633083).

The spelling of 34033608000040 in words is "thirty-four trillion, thirty-three billion, six hundred eight million, forty", and thus it is an aban number.