41058221568 has 640 divisors, whose sum is σ = 146708610048. Its totient is φ = 9894887424.

The previous prime is 41058221537. The next prime is 41058221573. The reversal of 41058221568 is 86512285014.

It is a super-3 number, since 3×41058221568³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87918871 + ... + 87919337.

Almost surely, 2^41058221568 is an apocalyptic number.

41058221568 is a gapful number since it is divisible by the number (48) 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 41058221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73354305024).

41058221568 is an abundant number, since it is smaller than the sum of its proper divisors (105650388480).

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

41058221568 is a wasteful number, since it uses less digits than its factorization.

41058221568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 41058221568 in words is "forty-one billion, fifty-eight million, two hundred twenty-one thousand, five hundred sixty-eight".