41020958490624 has 3360 divisors, whose sum is σ = 165032437248000. Its totient is φ = 10113169489920.

The previous prime is 41020958490613. The next prime is 41020958490661. The reversal of 41020958490624 is 42609485902014.

41020958490624 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 0 + 9 + 5 + 8 + 4 + 9 + 0 + 624 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1323256725489 + ... + 1323256725519.

It is an arithmetic number, because the mean of its divisors is an integer number (49116796800).

Almost surely, 2^{41020958490624} 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 41020958490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82516218624000).

41020958490624 is an abundant number, since it is smaller than the sum of its proper divisors (124011478757376).

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

41020958490624 is an frugal number, since it uses more digits than its factorization.

41020958490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 41020958490624 in words is "forty-one trillion, twenty billion, nine hundred fifty-eight million, four hundred ninety thousand, six hundred twenty-four".