41881242224640 has 1536 divisors, whose sum is σ = 174118823424000. Its totient is φ = 8345764233216.

The previous prime is 41881242224603. The next prime is 41881242224663. The reversal of 41881242224640 is 4642224218814.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41881242224640.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20661687307 + ... + 20661689333.

It is an arithmetic number, because the mean of its divisors is an integer number (113358609000).

Almost surely, 2^{41881242224640} is an apocalyptic number.

41881242224640 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 41881242224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87059411712000).

41881242224640 is an abundant number, since it is smaller than the sum of its proper divisors (132237581199360).

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

41881242224640 is a wasteful number, since it uses less digits than its factorization.

41881242224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 41881242224640 in words is "forty-one trillion, eight hundred eighty-one billion, two hundred forty-two million, two hundred twenty-four thousand, six hundred forty".