34041040000 has 320 divisors, whose sum is σ = 93606036480. Its totient is φ = 12224000000.

The previous prime is 34041039979. The next prime is 34041040049. The reversal of 34041040000 is 4014043.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88879809 + ... + 88880191.

It is an arithmetic number, because the mean of its divisors is an integer number (292518864).

Almost surely, 2^34041040000 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 34041040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46803018240).

34041040000 is an abundant number, since it is smaller than the sum of its proper divisors (59564996480).

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

34041040000 is a wasteful number, since it uses less digits than its factorization.

34041040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34041040000 its reverse (4014043), we get a palindrome (34045054043).

The spelling of 34041040000 in words is "thirty-four billion, forty-one million, forty thousand".