41185604460 has 576 divisors, whose sum is σ = 158830447104. Its totient is φ = 7838208000.

The previous prime is 41185604459. The next prime is 41185604461. The reversal of 41185604460 is 6440658114.

It is an interprime number because it is at equal distance from previous prime (41185604459) and next prime (41185604461).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (41185604461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68528160 + ... + 68528760.

It is an arithmetic number, because the mean of its divisors is an integer number (275747304).

Almost surely, 2^41185604460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41185604460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79415223552).

41185604460 is an abundant number, since it is smaller than the sum of its proper divisors (117644842644).

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

41185604460 is a wasteful number, since it uses less digits than its factorization.

41185604460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 41185604460 in words is "forty-one billion, one hundred eighty-five million, six hundred four thousand, four hundred sixty".