41444904533760 has 1296 divisors, whose sum is σ = 181385121887424. Its totient is φ = 8659364216832.

The previous prime is 41444904533699. The next prime is 41444904533777. The reversal of 41444904533760 is 6733540944414.

41444904533760 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 49 + 0 + 4 + 533 + 7 + 60 = 666.

It is a super-3 number, since 3×41444904533760³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 41444904533697 and 41444904533706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 755811304 + ... + 755866136.

Almost surely, 2^{41444904533760} is an apocalyptic number.

41444904533760 is a gapful number since it is divisible by the number (40) 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 41444904533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90692560943712).

41444904533760 is an abundant number, since it is smaller than the sum of its proper divisors (139940217353664).

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

41444904533760 is a wasteful number, since it uses less digits than its factorization.

41444904533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54990 (or 54966 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 41444904533760 in words is "forty-one trillion, four hundred forty-four billion, nine hundred four million, five hundred thirty-three thousand, seven hundred sixty".