41407842816 has 200 divisors, whose sum is σ = 128968022304. Its totient is φ = 13202196480.

The previous prime is 41407842781. The next prime is 41407842823. The reversal of 41407842816 is 61824870414.

41407842816 is a `hidden beast` number, since 4 + 140 + 78 + 428 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 932151 + ... + 975561.

Almost surely, 2^41407842816 is an apocalyptic number.

41407842816 is a gapful number since it is divisible by the number (46) 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 41407842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64484011152).

41407842816 is an abundant number, since it is smaller than the sum of its proper divisors (87560179488).

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

41407842816 is an equidigital number, since it uses as much as digits as its factorization.

41407842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43464 (or 43439 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 41407842816 in words is "forty-one billion, four hundred seven million, eight hundred forty-two thousand, eight hundred sixteen".