41986142330220 has 864 divisors, whose sum is σ = 147168359170560. Its totient is φ = 9663378278400.

The previous prime is 41986142330191. The next prime is 41986142330221. The reversal of 41986142330220 is 2203324168914.

41986142330220 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 614 + 2 + 3 + 3 + 0 + 2 + 20 = 666.

It is a super-2 number, since 2×41986142330220² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41986142330221) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53349608667 + ... + 53349609453.

It is an arithmetic number, because the mean of its divisors is an integer number (170333749040).

Almost surely, 2^{41986142330220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41986142330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584179585280).

41986142330220 is an abundant number, since it is smaller than the sum of its proper divisors (105182216840340).

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

41986142330220 is a wasteful number, since it uses less digits than its factorization.

41986142330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 41986142330220 in words is "forty-one trillion, nine hundred eighty-six billion, one hundred forty-two million, three hundred thirty thousand, two hundred twenty".