41022766560 has 96 divisors (see below), whose sum is σ = 129378846240. Its totient is φ = 10926102528.

The previous prime is 41022766549. The next prime is 41022766591. The reversal of 41022766560 is 6566722014.

41022766560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346374 + ... + 449466.

It is an arithmetic number, because the mean of its divisors is an integer number (1347696315).

Almost surely, 2^41022766560 is an apocalyptic number.

41022766560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41022766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64689423120).

41022766560 is an abundant number, since it is smaller than the sum of its proper divisors (88356079680).

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

41022766560 is a wasteful number, since it uses less digits than its factorization.

41022766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103940 (or 103932 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 41022766560 in words is "forty-one billion, twenty-two million, seven hundred sixty-six thousand, five hundred sixty".