41064038400 has 1152 divisors, whose sum is σ = 177869329920. Its totient is φ = 8257536000.

The previous prime is 41064038383. The next prime is 41064038413. The reversal of 41064038400 is 483046014.

It is a super-3 number, since 3×41064038400³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1324646385 + ... + 1324646415.

It is an arithmetic number, because the mean of its divisors is an integer number (154400460).

Almost surely, 2^41064038400 is an apocalyptic number.

41064038400 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 41064038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88934664960).

41064038400 is an abundant number, since it is smaller than the sum of its proper divisors (136805291520).

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

41064038400 is a wasteful number, since it uses less digits than its factorization.

41064038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 41064038400 in words is "forty-one billion, sixty-four million, thirty-eight thousand, four hundred".