406808844288 has 960 divisors, whose sum is σ = 1453490438400. Its totient is φ = 100143267840.

The previous prime is 406808844229. The next prime is 406808844319. The reversal of 406808844288 is 882448808604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3732191178 + ... + 3732191286.

It is an arithmetic number, because the mean of its divisors is an integer number (1514052540).

Almost surely, 2^406808844288 is an apocalyptic number.

406808844288 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 406808844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726745219200).

406808844288 is an abundant number, since it is smaller than the sum of its proper divisors (1046681594112).

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

406808844288 is a wasteful number, since it uses less digits than its factorization.

406808844288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 60.

The spelling of 406808844288 in words is "four hundred six billion, eight hundred eight million, eight hundred forty-four thousand, two hundred eighty-eight".