41006976660 has 288 divisors, whose sum is σ = 138193735680. Its totient is φ = 9778599936.

The previous prime is 41006976653. The next prime is 41006976697. The reversal of 41006976660 is 6667960014.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12777136 + ... + 12780344.

It is an arithmetic number, because the mean of its divisors is an integer number (479839360).

Almost surely, 2^41006976660 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 41006976660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69096867840).

41006976660 is an abundant number, since it is smaller than the sum of its proper divisors (97186759020).

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

41006976660 is a wasteful number, since it uses less digits than its factorization.

41006976660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 41006976660 in words is "forty-one billion, six million, nine hundred seventy-six thousand, six hundred sixty".