41095978560 has 1680 divisors, whose sum is σ = 194243797440. Its totient is φ = 8151736320.

The previous prime is 41095978559. The next prime is 41095978597. The reversal of 41095978560 is 6587959014.

41095978560 is a `hidden beast` number, since 4 + 1 + 0 + 9 + 5 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a junction number, because it is equal to n+sod(n) for n = 41095978497 and 41095978506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 313709695 + ... + 313709825.

It is an arithmetic number, because the mean of its divisors is an integer number (115621308).

Almost surely, 2^41095978560 is an apocalyptic number.

41095978560 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 41095978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97121898720).

41095978560 is an abundant number, since it is smaller than the sum of its proper divisors (153147818880).

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

41095978560 is a wasteful number, since it uses less digits than its factorization.

41095978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 41095978560 in words is "forty-one billion, ninety-five million, nine hundred seventy-eight thousand, five hundred sixty".