34041406040 has 64 divisors (see below), whose sum is σ = 78119717760. Its totient is φ = 13345712640.

The previous prime is 34041405977. The next prime is 34041406043. The reversal of 34041406040 is 4060414043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041406043) 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 15 ways as a sum of consecutive naturals, for example, 2156657 + ... + 2172383.

It is an arithmetic number, because the mean of its divisors is an integer number (1220620590).

Almost surely, 2^34041406040 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 34041406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39059858880).

34041406040 is an abundant number, since it is smaller than the sum of its proper divisors (44078311720).

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

34041406040 is a wasteful number, since it uses less digits than its factorization.

34041406040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16812 (or 16808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 34041406040 in words is "thirty-four billion, forty-one million, four hundred six thousand, forty".