41688448440 has 128 divisors (see below), whose sum is σ = 126606758400. Its totient is φ = 10980748800.

The previous prime is 41688448411. The next prime is 41688448463. The reversal of 41688448440 is 4484488614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3237054 + ... + 3249906.

It is an arithmetic number, because the mean of its divisors is an integer number (989115300).

Almost surely, 2^41688448440 is an apocalyptic number.

41688448440 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 41688448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63303379200).

41688448440 is an abundant number, since it is smaller than the sum of its proper divisors (84918309960).

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

41688448440 is a wasteful number, since it uses less digits than its factorization.

41688448440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13197 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 51.

The spelling of 41688448440 in words is "forty-one billion, six hundred eighty-eight million, four hundred forty-eight thousand, four hundred forty".