41115876480 has 640 divisors, whose sum is σ = 170049830400. Its totient is φ = 9388431360.

The previous prime is 41115876457. The next prime is 41115876491. The reversal of 41115876480 is 8467851114.

41115876480 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 587 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41488785 + ... + 41489775.

It is an arithmetic number, because the mean of its divisors is an integer number (265702860).

Almost surely, 2^41115876480 is an apocalyptic number.

41115876480 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 41115876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85024915200).

41115876480 is an abundant number, since it is smaller than the sum of its proper divisors (128933953920).

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

41115876480 is an frugal number, since it uses more digits than its factorization.

41115876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 41115876480 in words is "forty-one billion, one hundred fifteen million, eight hundred seventy-six thousand, four hundred eighty".