407811401728 has 96 divisors (see below), whose sum is σ = 864033042600. Its totient is φ = 191768297472.

The previous prime is 407811401719. The next prime is 407811401747. The reversal of 407811401728 is 827104118704.

It can be written as a sum of positive squares in 4 ways, for example, as 341766513664 + 66044888064 = 584608^2 + 256992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57686578 + ... + 57693646.

Almost surely, 2^407811401728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407811401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432016521300).

407811401728 is an abundant number, since it is smaller than the sum of its proper divisors (456221640872).

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

407811401728 is a wasteful number, since it uses less digits than its factorization.

407811401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 43.

The spelling of 407811401728 in words is "four hundred seven billion, eight hundred eleven million, four hundred one thousand, seven hundred twenty-eight".