41376581568 has 336 divisors, whose sum is σ = 142852688640. Its totient is φ = 11708831232.

The previous prime is 41376581567. The next prime is 41376581629. The reversal of 41376581568 is 86518567314.

It is a happy number.

41376581568 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 6 + 581 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41376581567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9057621 + ... + 9062187.

Almost surely, 2^41376581568 is an apocalyptic number.

41376581568 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 41376581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71426344320).

41376581568 is an abundant number, since it is smaller than the sum of its proper divisors (101476107072).

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

41376581568 is a wasteful number, since it uses less digits than its factorization.

41376581568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4686 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 41376581568 in words is "forty-one billion, three hundred seventy-six million, five hundred eighty-one thousand, five hundred sixty-eight".