406811289600 has 720 divisors, whose sum is σ = 1516803348060. Its totient is φ = 107760844800.

The previous prime is 406811289571. The next prime is 406811289611. The reversal of 406811289600 is 6982118604.

406811289600 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 11 + 28 + 9 + 600 = 666.

406811289600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6456443904 + 400354845696 = 80352^2 + 632736^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 966297390 + ... + 966297810.

Almost surely, 2^406811289600 is an apocalyptic number.

406811289600 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 406811289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758401674030).

406811289600 is an abundant number, since it is smaller than the sum of its proper divisors (1109992058460).

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

406811289600 is a wasteful number, since it uses less digits than its factorization.

406811289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 406811289600 in words is "four hundred six billion, eight hundred eleven million, two hundred eighty-nine thousand, six hundred".