41786918880 has 768 divisors, whose sum is σ = 167215104000. Its totient is φ = 8552079360.

The previous prime is 41786918851. The next prime is 41786918881. The reversal of 41786918880 is 8881968714.

It is a happy number.

It is a super-2 number, since 2×41786918880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41786918881) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 218779585 + ... + 218779775.

It is an arithmetic number, because the mean of its divisors is an integer number (217728000).

Almost surely, 2^41786918880 is an apocalyptic number.

41786918880 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 41786918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83607552000).

41786918880 is an abundant number, since it is smaller than the sum of its proper divisors (125428185120).

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

41786918880 is a wasteful number, since it uses less digits than its factorization.

41786918880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 60.

The spelling of 41786918880 in words is "forty-one billion, seven hundred eighty-six million, nine hundred eighteen thousand, eight hundred eighty".