41070468096 has 1056 divisors, whose sum is σ = 158797416960. Its totient is φ = 10319560704.

The previous prime is 41070468059. The next prime is 41070468119. The reversal of 41070468096 is 69086407014.

41070468096 is a `hidden beast` number, since 410 + 70 + 4 + 6 + 80 + 96 = 666.

41070468096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562609116 + ... + 562609188.

Almost surely, 2^41070468096 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 41070468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79398708480).

41070468096 is an abundant number, since it is smaller than the sum of its proper divisors (117726948864).

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

41070468096 is a wasteful number, since it uses less digits than its factorization.

41070468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41070468096 in words is "forty-one billion, seventy million, four hundred sixty-eight thousand, ninety-six".