41891460864 has 144 divisors (see below), whose sum is σ = 122559744384. Its totient is φ = 12597145600.

The previous prime is 41891460859. The next prime is 41891460869. The reversal of 41891460864 is 46806419814.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41891460859) and next prime (41891460869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41891460869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087762 + ... + 1125614.

It is an arithmetic number, because the mean of its divisors is an integer number (851109336).

Almost surely, 2^41891460864 is an apocalyptic number.

41891460864 is a gapful number since it is divisible by the number (44) 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 41891460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61279872192).

41891460864 is an abundant number, since it is smaller than the sum of its proper divisors (80668283520).

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

41891460864 is a wasteful number, since it uses less digits than its factorization.

41891460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38014 (or 38000 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 41891460864 in words is "forty-one billion, eight hundred ninety-one million, four hundred sixty thousand, eight hundred sixty-four".