408134466224640 has 480 divisors, whose sum is σ = 1497464176109616. Its totient is φ = 102376695398400.

The previous prime is 408134466224467. The next prime is 408134466224663. The reversal of 408134466224640 is 46422664431804.

408134466224640 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 3 + 4 + 4 + 6 + 622 + 4 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35037118054656 + 373097348169984 = 5919216^2 + 19315728^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705126394 + ... + 705704966.

Almost surely, 2^{408134466224640} is an apocalyptic number.

408134466224640 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 408134466224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748732088054808).

408134466224640 is an abundant number, since it is smaller than the sum of its proper divisors (1089329709884976).

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

408134466224640 is a wasteful number, since it uses less digits than its factorization.

408134466224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580420 (or 580401 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 408134466224640 in words is "four hundred eight trillion, one hundred thirty-four billion, four hundred sixty-six million, two hundred twenty-four thousand, six hundred forty".