41278875125760 has 3072 divisors, whose sum is σ = 169556115456000. Its totient is φ = 9470107975680.

The previous prime is 41278875125723. The next prime is 41278875125843. The reversal of 41278875125760 is 6752157887214.

41278875125760 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 8 + 8 + 7 + 51 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 385783879627 + ... + 385783879733.

It is an arithmetic number, because the mean of its divisors is an integer number (55194048000).

Almost surely, 2^{41278875125760} is an apocalyptic number.

41278875125760 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 41278875125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84778057728000).

41278875125760 is an abundant number, since it is smaller than the sum of its proper divisors (128277240330240).

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

41278875125760 is a wasteful number, since it uses less digits than its factorization.

41278875125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 41278875125760 in words is "forty-one trillion, two hundred seventy-eight billion, eight hundred seventy-five million, one hundred twenty-five thousand, seven hundred sixty".