41882447097936 has 320 divisors, whose sum is σ = 127081509120000. Its totient is φ = 13170117639168.

The previous prime is 41882447097913. The next prime is 41882447097941. The reversal of 41882447097936 is 63979074428814.

41882447097936 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 2 + 447 + 0 + 97 + 93 + 6 = 666.

It is a super-2 number, since 2×41882447097936² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 2012697900 + ... + 2012718708.

It is an arithmetic number, because the mean of its divisors is an integer number (397129716000).

Almost surely, 2^{41882447097936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41882447097936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63540754560000).

41882447097936 is an abundant number, since it is smaller than the sum of its proper divisors (85199062022064).

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

41882447097936 is a wasteful number, since it uses less digits than its factorization.

41882447097936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21871 (or 21859 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 41882447097936 in words is "forty-one trillion, eight hundred eighty-two billion, four hundred forty-seven million, ninety-seven thousand, nine hundred thirty-six".