41987911680 has 1248 divisors, whose sum is σ = 180322571520. Its totient is φ = 9236643840.

The previous prime is 41987911663. The next prime is 41987911699. The reversal of 41987911680 is 8611978914.

41987911680 is a `hidden beast` number, since 419 + 87 + 91 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711659491 + ... + 711659549.

It is an arithmetic number, because the mean of its divisors is an integer number (144489240).

Almost surely, 2^41987911680 is an apocalyptic number.

41987911680 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 41987911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90161285760).

41987911680 is an abundant number, since it is smaller than the sum of its proper divisors (138334659840).

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

41987911680 is a wasteful number, since it uses less digits than its factorization.

41987911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 41987911680 in words is "forty-one billion, nine hundred eighty-seven million, nine hundred eleven thousand, six hundred eighty".