41536405440 has 168 divisors, whose sum is σ = 143002302768. Its totient is φ = 11065958400.

The previous prime is 41536405423. The next prime is 41536405441. The reversal of 41536405440 is 4450463514.

41536405440 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 640 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41536405395 and 41536405404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41536405441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3343240 + ... + 3355640.

Almost surely, 2^41536405440 is an apocalyptic number.

41536405440 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 41536405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71501151384).

41536405440 is an abundant number, since it is smaller than the sum of its proper divisors (101465897328).

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

41536405440 is a wasteful number, since it uses less digits than its factorization.

41536405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13574 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 41536405440 its reverse (4450463514), we get a palindrome (45986868954).

The spelling of 41536405440 in words is "forty-one billion, five hundred thirty-six million, four hundred five thousand, four hundred forty".