41276342016 has 576 divisors, whose sum is σ = 151641907200. Its totient is φ = 10784047104.

The previous prime is 41276341991. The next prime is 41276342017. The reversal of 41276342016 is 61024367214.

41276342016 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 634 + 2 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41276342017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86171665 + ... + 86172143.

It is an arithmetic number, because the mean of its divisors is an integer number (263267200).

Almost surely, 2^41276342016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41276342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75820953600).

41276342016 is an abundant number, since it is smaller than the sum of its proper divisors (110365565184).

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

41276342016 is a wasteful number, since it uses less digits than its factorization.

41276342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 41276342016 in words is "forty-one billion, two hundred seventy-six million, three hundred forty-two thousand, sixteen".