41314506840 has 160 divisors (see below), whose sum is σ = 139461173280. Its totient is φ = 10969717248.

The previous prime is 41314506811. The next prime is 41314506911. The reversal of 41314506840 is 4860541314.

41314506840 is a `hidden beast` number, since 41 + 31 + 4 + 506 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41314506795 and 41314506804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 727557 + ... + 782283.

It is an arithmetic number, because the mean of its divisors is an integer number (871632333).

Almost surely, 2^41314506840 is an apocalyptic number.

41314506840 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 41314506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69730586640).

41314506840 is an abundant number, since it is smaller than the sum of its proper divisors (98146666440).

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

41314506840 is a wasteful number, since it uses less digits than its factorization.

41314506840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54983 (or 54970 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41314506840 in words is "forty-one billion, three hundred fourteen million, five hundred six thousand, eight hundred forty".