41195760480 has 432 divisors, whose sum is σ = 169579466784. Its totient is φ = 8919797760.

The previous prime is 41195760451. The next prime is 41195760497. The reversal of 41195760480 is 8406759114.

41195760480 is a `hidden beast` number, since 4 + 11 + 95 + 76 + 0 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3633220 + ... + 3644540.

It is an arithmetic number, because the mean of its divisors is an integer number (392545062).

Almost surely, 2^41195760480 is an apocalyptic number.

41195760480 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 41195760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84789733392).

41195760480 is an abundant number, since it is smaller than the sum of its proper divisors (128383706304).

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

41195760480 is a wasteful number, since it uses less digits than its factorization.

41195760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11387 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 41195760480 in words is "forty-one billion, one hundred ninety-five million, seven hundred sixty thousand, four hundred eighty".