41064000000 has 560 divisors, whose sum is σ = 143857533600. Its totient is φ = 10393600000.

The previous prime is 41063999989. The next prime is 41064000001. The reversal of 41064000000 is 46014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (41064000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 695999971 + ... + 696000029.

Almost surely, 2^41064000000 is an apocalyptic number.

41064000000 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 41064000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71928766800).

41064000000 is an abundant number, since it is smaller than the sum of its proper divisors (102793533600).

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

41064000000 is an frugal number, since it uses more digits than its factorization.

41064000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 41064000000 its reverse (46014), we get a palindrome (41064046014).

The spelling of 41064000000 in words is "forty-one billion, sixty-four million", and thus it is an aban number.