408492041680 has 20 divisors (see below), whose sum is σ = 949743997092. Its totient is φ = 163396816640.

The previous prime is 408492041677. The next prime is 408492041681. The reversal of 408492041680 is 86140294804.

It can be written as a sum of positive squares in 2 ways, for example, as 122301280656 + 286190761024 = 349716^2 + 534968^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 408492041680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408492041681) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2553075181 + ... + 2553075340.

Almost surely, 2^408492041680 is an apocalyptic number.

408492041680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408492041680 is an abundant number, since it is smaller than the sum of its proper divisors (541251955412).

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

408492041680 is a wasteful number, since it uses less digits than its factorization.

408492041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106150534 (or 5106150528 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 408492041680 in words is "four hundred eight billion, four hundred ninety-two million, forty-one thousand, six hundred eighty".