41581874880 has 1680 divisors, whose sum is σ = 196556961216. Its totient is φ = 8121876480.

The previous prime is 41581874861. The next prime is 41581874891. The reversal of 41581874880 is 8847818514.

41581874880 is a `hidden beast` number, since 4 + 1 + 5 + 81 + 87 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 681670050 + ... + 681670110.

Almost surely, 2^41581874880 is an apocalyptic number.

41581874880 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 41581874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98278480608).

41581874880 is an abundant number, since it is smaller than the sum of its proper divisors (154975086336).

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

41581874880 is a wasteful number, since it uses less digits than its factorization.

41581874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 41581874880 in words is "forty-one billion, five hundred eighty-one million, eight hundred seventy-four thousand, eight hundred eighty".