41168096640 has 512 divisors, whose sum is σ = 160598592000. Its totient is φ = 9883607040.

The previous prime is 41168096581. The next prime is 41168096647. The reversal of 41168096640 is 4669086114.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41168096647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20717727 + ... + 20719713.

It is an arithmetic number, because the mean of its divisors is an integer number (313669125).

Almost surely, 2^41168096640 is an apocalyptic number.

41168096640 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 41168096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80299296000).

41168096640 is an abundant number, since it is smaller than the sum of its proper divisors (119430495360).

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

41168096640 is a wasteful number, since it uses less digits than its factorization.

41168096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41168096640 in words is "forty-one billion, one hundred sixty-eight million, ninety-six thousand, six hundred forty".