41606044449408 has 768 divisors, whose sum is σ = 126107055360000. Its totient is φ = 13155996672000.

The previous prime is 41606044449401. The next prime is 41606044449461. The reversal of 41606044449408 is 80494444060614.

41606044449408 is a `hidden beast` number, since 4 + 1 + 60 + 60 + 44 + 449 + 40 + 8 = 666.

It is a super-2 number, since 2×41606044449408² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41606044449401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83378846343 + ... + 83378846841.

It is an arithmetic number, because the mean of its divisors is an integer number (164201895000).

Almost surely, 2^{41606044449408} is an apocalyptic number.

41606044449408 is a gapful number since it is divisible by the number (48) 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 41606044449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63053527680000).

41606044449408 is an abundant number, since it is smaller than the sum of its proper divisors (84501010910592).

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

41606044449408 is a wasteful number, since it uses less digits than its factorization.

41606044449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 41606044449408 in words is "forty-one trillion, six hundred six billion, forty-four million, four hundred forty-nine thousand, four hundred eight".