41393790720 has 288 divisors, whose sum is σ = 148062781440. Its totient is φ = 10950266880.

The previous prime is 41393790709. The next prime is 41393790721. The reversal of 41393790720 is 2709739314.

It is a tau number, because it is divible by the number of its divisors (288).

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 (41393790721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4384405 + ... + 4393835.

It is an arithmetic number, because the mean of its divisors is an integer number (514106880).

Almost surely, 2^41393790720 is an apocalyptic number.

41393790720 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 41393790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74031390720).

41393790720 is an abundant number, since it is smaller than the sum of its proper divisors (106668990720).

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

41393790720 is a wasteful number, since it uses less digits than its factorization.

41393790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 41393790720 in words is "forty-one billion, three hundred ninety-three million, seven hundred ninety thousand, seven hundred twenty".