41731325440 has 160 divisors (see below), whose sum is σ = 115488483264. Its totient is φ = 14165606400.

The previous prime is 41731325411. The next prime is 41731325509. The reversal of 41731325440 is 4452313714.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 41731325396 and 41731325405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798392 + ... + 1821448.

Almost surely, 2^41731325440 is an apocalyptic number.

41731325440 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 41731325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57744241632).

41731325440 is an abundant number, since it is smaller than the sum of its proper divisors (73757157824).

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

41731325440 is a wasteful number, since it uses less digits than its factorization.

41731325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23188 (or 23172 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 41731325440 in words is "forty-one billion, seven hundred thirty-one million, three hundred twenty-five thousand, four hundred forty".