41144744471328 has 576 divisors, whose sum is σ = 133357424578560. Its totient is φ = 12420796151808.

The previous prime is 41144744471323. The next prime is 41144744471353. The reversal of 41144744471328 is 82317444744114.

41144744471328 is a `hidden beast` number, since 4 + 1 + 144 + 7 + 4 + 4 + 471 + 3 + 28 = 666.

It is a super-2 number, since 2×41144744471328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41144744471323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9219075625 + ... + 9219080087.

It is an arithmetic number, because the mean of its divisors is an integer number (231523306560).

Almost surely, 2^{41144744471328} is an apocalyptic number.

41144744471328 is a gapful number since it is divisible by the number (48) 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 41144744471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66678712289280).

41144744471328 is an abundant number, since it is smaller than the sum of its proper divisors (92212680107232).

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

41144744471328 is a wasteful number, since it uses less digits than its factorization.

41144744471328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7223 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The spelling of 41144744471328 in words is "forty-one trillion, one hundred forty-four billion, seven hundred forty-four million, four hundred seventy-one thousand, three hundred twenty-eight".