41685349440 has 448 divisors, whose sum is σ = 163123107840. Its totient is φ = 8805335040.

The previous prime is 41685349439. The next prime is 41685349451. The reversal of 41685349440 is 4494358614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41685349440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5230899 + ... + 5238861.

It is an arithmetic number, because the mean of its divisors is an integer number (364114080).

Almost surely, 2^41685349440 is an apocalyptic number.

41685349440 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 41685349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81561553920).

41685349440 is an abundant number, since it is smaller than the sum of its proper divisors (121437758400).

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

41685349440 is a wasteful number, since it uses less digits than its factorization.

41685349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 41685349440 in words is "forty-one billion, six hundred eighty-five million, three hundred forty-nine thousand, four hundred forty".