41481538560 has 1056 divisors, whose sum is σ = 186265078272. Its totient is φ = 8599633920.

The previous prime is 41481538471. The next prime is 41481538573. The reversal of 41481538560 is 6583518414.

41481538560 is a `hidden beast` number, since 4 + 1 + 4 + 81 + 5 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95800104 + ... + 95800536.

Almost surely, 2^41481538560 is an apocalyptic number.

41481538560 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 41481538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132539136).

41481538560 is an abundant number, since it is smaller than the sum of its proper divisors (144783539712).

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

41481538560 is a wasteful number, since it uses less digits than its factorization.

41481538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 41481538560 in words is "forty-one billion, four hundred eighty-one million, five hundred thirty-eight thousand, five hundred sixty".