34041019040 has 192 divisors, whose sum is σ = 93710131200. Its totient is φ = 11444944896.

The previous prime is 34041019009. The next prime is 34041019049. The reversal of 34041019040 is 4091014043.

It is not an unprimeable number, because it can be changed into a prime (34041019049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12658016 + ... + 12660704.

It is an arithmetic number, because the mean of its divisors is an integer number (488073600).

Almost surely, 2^34041019040 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 34041019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46855065600).

34041019040 is an abundant number, since it is smaller than the sum of its proper divisors (59669112160).

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

34041019040 is a wasteful number, since it uses less digits than its factorization.

34041019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 34041019040 in words is "thirty-four billion, forty-one million, nineteen thousand, forty".