41270777856 has 672 divisors, whose sum is σ = 154684857600. Its totient is φ = 10689822720.

The previous prime is 41270777851. The next prime is 41270777887. The reversal of 41270777856 is 65877707214.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41270777851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114960205 + ... + 114960563.

It is an arithmetic number, because the mean of its divisors is an integer number (230185800).

Almost surely, 2^41270777856 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 41270777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77342428800).

41270777856 is an abundant number, since it is smaller than the sum of its proper divisors (113414079744).

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

41270777856 is an equidigital number, since it uses as much as digits as its factorization.

41270777856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 41270777856 in words is "forty-one billion, two hundred seventy million, seven hundred seventy-seven thousand, eight hundred fifty-six".