41372982144 has 512 divisors, whose sum is σ = 146615616000. Its totient is φ = 11346739200.

The previous prime is 41372982071. The next prime is 41372982169. The reversal of 41372982144 is 44128927314.

41372982144 is a `hidden beast` number, since 413 + 7 + 2 + 98 + 2 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41372982144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14510319 + ... + 14513169.

It is an arithmetic number, because the mean of its divisors is an integer number (286358625).

Almost surely, 2^41372982144 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 41372982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73307808000).

41372982144 is an abundant number, since it is smaller than the sum of its proper divisors (105242633856).

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

41372982144 is a wasteful number, since it uses less digits than its factorization.

41372982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2905 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 41372982144 in words is "forty-one billion, three hundred seventy-two million, nine hundred eighty-two thousand, one hundred forty-four".