41384783880 has 768 divisors, whose sum is σ = 160446873600. Its totient is φ = 9144576000.

The previous prime is 41384783879. The next prime is 41384783897. The reversal of 41384783880 is 8838748314.

It is a happy number.

41384783880 is a `hidden beast` number, since 4 + 138 + 478 + 38 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325864377 + ... + 325864503.

It is an arithmetic number, because the mean of its divisors is an integer number (208915200).

Almost surely, 2^41384783880 is an apocalyptic number.

41384783880 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 41384783880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80223436800).

41384783880 is an abundant number, since it is smaller than the sum of its proper divisors (119062089720).

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

41384783880 is a wasteful number, since it uses less digits than its factorization.

41384783880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 41384783880 in words is "forty-one billion, three hundred eighty-four million, seven hundred eighty-three thousand, eight hundred eighty".