41788262880 has 1344 divisors, whose sum is σ = 189535223808. Its totient is φ = 8465264640.

The previous prime is 41788262869. The next prime is 41788262899. The reversal of 41788262880 is 8826288714.

41788262880 is a `hidden beast` number, since 4 + 1 + 7 + 8 + 8 + 2 + 628 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 329041377 + ... + 329041503.

It is an arithmetic number, because the mean of its divisors is an integer number (141023232).

Almost surely, 2^41788262880 is an apocalyptic number.

41788262880 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 41788262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94767611904).

41788262880 is an abundant number, since it is smaller than the sum of its proper divisors (147746960928).

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

41788262880 is a wasteful number, since it uses less digits than its factorization.

41788262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 41788262880 in words is "forty-one billion, seven hundred eighty-eight million, two hundred sixty-two thousand, eight hundred eighty".