41799616320 has 1792 divisors, whose sum is σ = 192138117120. Its totient is φ = 7431782400.

The previous prime is 41799616253. The next prime is 41799616373. The reversal of 41799616320 is 2361699714.

41799616320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 41799616320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1129719342 + ... + 1129719378.

Almost surely, 2^41799616320 is an apocalyptic number.

41799616320 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 41799616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96069058560).

41799616320 is an abundant number, since it is smaller than the sum of its proper divisors (150338500800).

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

41799616320 is a wasteful number, since it uses less digits than its factorization.

41799616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 41799616320 in words is "forty-one billion, seven hundred ninety-nine million, six hundred sixteen thousand, three hundred twenty".