41418030720 has 256 divisors, whose sum is σ = 144896532480. Its totient is φ = 9979760640.

The previous prime is 41418030623. The next prime is 41418030743. The reversal of 41418030720 is 2703081414.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3521169 + ... + 3532911.

It is an arithmetic number, because the mean of its divisors is an integer number (566002080).

Almost surely, 2^41418030720 is an apocalyptic number.

41418030720 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 41418030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448266240).

41418030720 is an abundant number, since it is smaller than the sum of its proper divisors (103478501760).

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

41418030720 is a wasteful number, since it uses less digits than its factorization.

41418030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 41418030720 in words is "forty-one billion, four hundred eighteen million, thirty thousand, seven hundred twenty".