41025864960 has 216 divisors, whose sum is σ = 147203565600. Its totient is φ = 10940147712.

The previous prime is 41025864953. The next prime is 41025865019. The reversal of 41025864960 is 6946852014.

41025864960 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 586 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 245091 + ... + 376989.

Almost surely, 2^41025864960 is an apocalyptic number.

41025864960 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 41025864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73601782800).

41025864960 is an abundant number, since it is smaller than the sum of its proper divisors (106177700640).

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

41025864960 is an equidigital number, since it uses as much as digits as its factorization.

41025864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131935 (or 131909 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 41025864960 in words is "forty-one billion, twenty-five million, eight hundred sixty-four thousand, nine hundred sixty".