41077586664576 has 4096 divisors, whose sum is σ = 175432531968000. Its totient is φ = 9129944678400.

The previous prime is 41077586664533. The next prime is 41077586664581. The reversal of 41077586664576 is 67546668577014.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 323445564225 + ... + 323445564351.

It is an arithmetic number, because the mean of its divisors is an integer number (42830208000).

Almost surely, 2^{41077586664576} 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 41077586664576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87716265984000).

41077586664576 is an abundant number, since it is smaller than the sum of its proper divisors (134354945303424).

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

41077586664576 is a wasteful number, since it uses less digits than its factorization.

41077586664576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 41077586664576 in words is "forty-one trillion, seventy-seven billion, five hundred eighty-six million, six hundred sixty-four thousand, five hundred seventy-six".