409944488706 has 192 divisors, whose sum is σ = 962838938880. Its totient is φ = 125732935680.

The previous prime is 409944488693. The next prime is 409944488717. The reversal of 409944488706 is 607884449904.

409944488706 is a `hidden beast` number, since 40 + 9 + 9 + 44 + 488 + 70 + 6 = 666.

409944488706 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×409944488706³ (a number of 36 digits) contains 333 as substring.

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, 402300265 + ... + 402301283.

It is an arithmetic number, because the mean of its divisors is an integer number (5014786140).

Almost surely, 2^409944488706 is an apocalyptic number.

409944488706 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 409944488706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481419469440).

409944488706 is an abundant number, since it is smaller than the sum of its proper divisors (552894450174).

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

409944488706 is a wasteful number, since it uses less digits than its factorization.

409944488706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 409944488706 in words is "four hundred nine billion, nine hundred forty-four million, four hundred eighty-eight thousand, seven hundred six".