41334000320 has 112 divisors (see below), whose sum is σ = 99381417696. Its totient is φ = 16373760000.

The previous prime is 41334000307. The next prime is 41334000341. The reversal of 41334000320 is 2300043314.

41334000320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 41334000292 and 41334000301.

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, 34415720 + ... + 34416920.

Almost surely, 2^41334000320 is an apocalyptic number.

41334000320 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 41334000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49690708848).

41334000320 is an abundant number, since it is smaller than the sum of its proper divisors (58047417376).

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

41334000320 is a wasteful number, since it uses less digits than its factorization.

41334000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 41334000320 its reverse (2300043314), we get a palindrome (43634043634).

The spelling of 41334000320 in words is "forty-one billion, three hundred thirty-four million, three hundred twenty", and thus it is an aban number.