41669261568 has 720 divisors, whose sum is σ = 143598292992. Its totient is φ = 11902464000.

The previous prime is 41669261567. The next prime is 41669261587. The reversal of 41669261568 is 86516296614.

41669261568 is a `hidden beast` number, since 4 + 16 + 6 + 9 + 2 + 61 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41669261563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 502039255 + ... + 502039337.

Almost surely, 2^41669261568 is an apocalyptic number.

41669261568 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 41669261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71799146496).

41669261568 is an abundant number, since it is smaller than the sum of its proper divisors (101929031424).

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

41669261568 is a wasteful number, since it uses less digits than its factorization.

41669261568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 41669261568 in words is "forty-one billion, six hundred sixty-nine million, two hundred sixty-one thousand, five hundred sixty-eight".