41658587712 has 1120 divisors, whose sum is σ = 161449390080. Its totient is φ = 10346434560.

The previous prime is 41658587701. The next prime is 41658587837. The reversal of 41658587712 is 21778585614.

41658587712 is a `hidden beast` number, since 4 + 1 + 6 + 58 + 587 + 7 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 586740637 + ... + 586740707.

Almost surely, 2^41658587712 is an apocalyptic number.

41658587712 is a gapful number since it is divisible by the number (42) 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 41658587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80724695040).

41658587712 is an abundant number, since it is smaller than the sum of its proper divisors (119790802368).

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

41658587712 is a wasteful number, since it uses less digits than its factorization.

41658587712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 41658587712 in words is "forty-one billion, six hundred fifty-eight million, five hundred eighty-seven thousand, seven hundred twelve".