41282648737344 has 1344 divisors, whose sum is σ = 152796503347200. Its totient is φ = 10863756288000.

The previous prime is 41282648737333. The next prime is 41282648737367. The reversal of 41282648737344 is 44373784628214.

41282648737344 is a `hidden beast` number, since 4 + 1 + 2 + 82 + 6 + 487 + 3 + 73 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8338242069 + ... + 8338247019.

Almost surely, 2^{41282648737344} 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 41282648737344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76398251673600).

41282648737344 is an abundant number, since it is smaller than the sum of its proper divisors (111513854609856).

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

41282648737344 is a wasteful number, since it uses less digits than its factorization.

41282648737344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5126 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 63.

The spelling of 41282648737344 in words is "forty-one trillion, two hundred eighty-two billion, six hundred forty-eight million, seven hundred thirty-seven thousand, three hundred forty-four".