41768125440 has 264 divisors, whose sum is σ = 136606495872. Its totient is φ = 10892328960.

The previous prime is 41768125439. The next prime is 41768125501. The reversal of 41768125440 is 4452186714.

It is a junction number, because it is equal to n+sod(n) for n = 41768125392 and 41768125401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33929625 + ... + 33930855.

It is an arithmetic number, because the mean of its divisors is an integer number (517448848).

Almost surely, 2^41768125440 is an apocalyptic number.

41768125440 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 41768125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68303247936).

41768125440 is an abundant number, since it is smaller than the sum of its proper divisors (94838370432).

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

41768125440 is a wasteful number, since it uses less digits than its factorization.

41768125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 41768125440 in words is "forty-one billion, seven hundred sixty-eight million, one hundred twenty-five thousand, four hundred forty".