41259778560 has 960 divisors, whose sum is σ = 191965213440. Its totient is φ = 7909539840.

The previous prime is 41259778543. The next prime is 41259778603. The reversal of 41259778560 is 6587795214.

41259778560 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 9 + 7 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 41259778497 and 41259778506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062146 + ... + 23063934.

It is an arithmetic number, because the mean of its divisors is an integer number (199963764).

Almost surely, 2^41259778560 is an apocalyptic number.

41259778560 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 41259778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95982606720).

41259778560 is an abundant number, since it is smaller than the sum of its proper divisors (150705434880).

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

41259778560 is a wasteful number, since it uses less digits than its factorization.

41259778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 41259778560 in words is "forty-one billion, two hundred fifty-nine million, seven hundred seventy-eight thousand, five hundred sixty".