41168640 has 144 divisors (see below), whose sum is σ = 134217216. Its totient is φ = 10752000.

The previous prime is 41168639. The next prime is 41168669. The reversal of 41168640 is 4686114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41168598 and 41168607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272565 + ... + 272715.

It is an arithmetic number, because the mean of its divisors is an integer number (932064).

Almost surely, 2^41168640 is an apocalyptic number.

41168640 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 41168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108608).

41168640 is an abundant number, since it is smaller than the sum of its proper divisors (93048576).

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

41168640 is a wasteful number, since it uses less digits than its factorization.

41168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41168640 is about 6416.2792956666. The cubic root of 41168640 is about 345.2938475282.

The spelling of 41168640 in words is "forty-one million, one hundred sixty-eight thousand, six hundred forty".