41238284838240 has 960 divisors, whose sum is σ = 153837428000256. Its totient is φ = 9283837280256.

The previous prime is 41238284838217. The next prime is 41238284838251. The reversal of 41238284838240 is 4283848283214.

It is a super-2 number, since 2×41238284838240² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 56723912757 + ... + 56723913483.

Almost surely, 2^{41238284838240} is an apocalyptic number.

41238284838240 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 41238284838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76918714000128).

41238284838240 is an abundant number, since it is smaller than the sum of its proper divisors (112599143162016).

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

41238284838240 is an equidigital number, since it uses as much as digits as its factorization.

41238284838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 57.

The spelling of 41238284838240 in words is "forty-one trillion, two hundred thirty-eight billion, two hundred eighty-four million, eight hundred thirty-eight thousand, two hundred forty".