34041209875904 has 504 divisors, whose sum is σ = 90416328468480. Its totient is φ = 12653891712000.

The previous prime is 34041209875861. The next prime is 34041209875951. The reversal of 34041209875904 is 40957890214043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 34041209875904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 835162277 + ... + 835203035.

It is an arithmetic number, because the mean of its divisors is an integer number (179397477120).

Almost surely, 2^{34041209875904} 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 34041209875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208164234240).

34041209875904 is an abundant number, since it is smaller than the sum of its proper divisors (56375118592576).

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

34041209875904 is a wasteful number, since it uses less digits than its factorization.

34041209875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40909 (or 40881 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 34041209875904 in words is "thirty-four trillion, forty-one billion, two hundred nine million, eight hundred seventy-five thousand, nine hundred four".