41344093440 has 576 divisors, whose sum is σ = 164910574080. Its totient is φ = 9732096000.

The previous prime is 41344093421. The next prime is 41344093457. The reversal of 41344093440 is 4439044314.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41344093395 and 41344093404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10331440 + ... + 10335440.

It is an arithmetic number, because the mean of its divisors is an integer number (286303080).

Almost surely, 2^41344093440 is an apocalyptic number.

41344093440 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 41344093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82455287040).

41344093440 is an abundant number, since it is smaller than the sum of its proper divisors (123566480640).

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

41344093440 is a wasteful number, since it uses less digits than its factorization.

41344093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 41344093440 in words is "forty-one billion, three hundred forty-four million, ninety-three thousand, four hundred forty".