41404072320 has 512 divisors, whose sum is σ = 159107760000. Its totient is φ = 10115186688.

The previous prime is 41404072313. The next prime is 41404072321. The reversal of 41404072320 is 2327040414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41404072321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33470742 + ... + 33471978.

Almost surely, 2^41404072320 is an apocalyptic number.

41404072320 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 41404072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79553880000).

41404072320 is an abundant number, since it is smaller than the sum of its proper divisors (117703687680).

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

41404072320 is a wasteful number, since it uses less digits than its factorization.

41404072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 41404072320 in words is "forty-one billion, four hundred four million, seventy-two thousand, three hundred twenty".