41419330560 has 484 divisors, whose sum is σ = 150123794868. Its totient is φ = 10964533248.

The previous prime is 41419330523. The next prime is 41419330567. The reversal of 41419330560 is 6503391414.

41419330560 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 93 + 3 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19591041024 + 21828289536 = 139968^2 + 147744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41419330567) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 302330812 + ... + 302330948.

Almost surely, 2^41419330560 is an apocalyptic number.

41419330560 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 41419330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75061897434).

41419330560 is an abundant number, since it is smaller than the sum of its proper divisors (108704464308).

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

41419330560 is an frugal number, since it uses more digits than its factorization.

41419330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 41419330560 in words is "forty-one billion, four hundred nineteen million, three hundred thirty thousand, five hundred sixty".