41415506640 has 120 divisors (see below), whose sum is σ = 139187865960. Its totient is φ = 11036132352.

The previous prime is 41415506599. The next prime is 41415506647. The reversal of 41415506640 is 4660551414.

41415506640 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 5 + 5 + 0 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2789107344 + 38626399296 = 52812^2 + 196536^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 41415506595 and 41415506604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41415506647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008754 + ... + 1049006.

It is an arithmetic number, because the mean of its divisors is an integer number (1159898883).

Almost surely, 2^41415506640 is an apocalyptic number.

41415506640 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 41415506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593932980).

41415506640 is an abundant number, since it is smaller than the sum of its proper divisors (97772359320).

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

41415506640 is a wasteful number, since it uses less digits than its factorization.

41415506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41701 (or 41692 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 41415506640 in words is "forty-one billion, four hundred fifteen million, five hundred six thousand, six hundred forty".