41255976960 has 360 divisors, whose sum is σ = 156048512256. Its totient is φ = 9999482880.

The previous prime is 41255976959. The next prime is 41255977001. The reversal of 41255976960 is 6967955214.

41255976960 is a `hidden beast` number, since 4 + 12 + 559 + 76 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 41255976897 and 41255976906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8107537 + ... + 8112623.

Almost surely, 2^41255976960 is an apocalyptic number.

41255976960 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 41255976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78024256128).

41255976960 is an abundant number, since it is smaller than the sum of its proper divisors (114792535296).

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

41255976960 is a wasteful number, since it uses less digits than its factorization.

41255976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 41255976960 in words is "forty-one billion, two hundred fifty-five million, nine hundred seventy-six thousand, nine hundred sixty".