41608654560 has 384 divisors, whose sum is σ = 160430699520. Its totient is φ = 9987840000.

The previous prime is 41608654543. The next prime is 41608654573. The reversal of 41608654560 is 6545680614.

41608654560 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 86 + 5 + 4 + 560 = 666.

It is a super-3 number, since 3×41608654560³ (a number of 33 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4890310 + ... + 4898810.

It is an arithmetic number, because the mean of its divisors is an integer number (417788280).

Almost surely, 2^41608654560 is an apocalyptic number.

41608654560 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 41608654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80215349760).

41608654560 is an abundant number, since it is smaller than the sum of its proper divisors (118822044960).

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

41608654560 is a wasteful number, since it uses less digits than its factorization.

41608654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8625 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 41608654560 in words is "forty-one billion, six hundred eight million, six hundred fifty-four thousand, five hundred sixty".