41382651744 has 576 divisors, whose sum is σ = 151894020096. Its totient is φ = 10408476672.

The previous prime is 41382651701. The next prime is 41382651769. The reversal of 41382651744 is 44715628314.

41382651744 is a `hidden beast` number, since 4 + 13 + 82 + 6 + 517 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41382651744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37047474 + ... + 37048590.

It is an arithmetic number, because the mean of its divisors is an integer number (263704896).

Almost surely, 2^41382651744 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 41382651744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947010048).

41382651744 is an abundant number, since it is smaller than the sum of its proper divisors (110511368352).

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

41382651744 is a wasteful number, since it uses less digits than its factorization.

41382651744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 41382651744 in words is "forty-one billion, three hundred eighty-two million, six hundred fifty-one thousand, seven hundred forty-four".