41960331000 has 768 divisors, whose sum is σ = 170453237760. Its totient is φ = 9109324800.

The previous prime is 41960330983. The next prime is 41960331041. The reversal of 41960331000 is 13306914.

41960331000 is a `hidden beast` number, since 41 + 9 + 603 + 3 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×41960331000² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 109556809 + ... + 109557191.

It is an arithmetic number, because the mean of its divisors is an integer number (221944320).

Almost surely, 2^41960331000 is an apocalyptic number.

41960331000 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 41960331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85226618880).

41960331000 is an abundant number, since it is smaller than the sum of its proper divisors (128492906760).

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

41960331000 is a wasteful number, since it uses less digits than its factorization.

41960331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 41960331000 its reverse (13306914), we get a palindrome (41973637914).

The spelling of 41960331000 in words is "forty-one billion, nine hundred sixty million, three hundred thirty-one thousand".