413723723328 has 140 divisors (see below), whose sum is σ = 1239051598092. Its totient is φ = 136486010880.

The previous prime is 413723723327. The next prime is 413723723363. The reversal of 413723723328 is 823327327314.

413723723328 is a `hidden beast` number, since 41 + 37 + 237 + 23 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 238370485824 + 175353237504 = 488232^2 + 418752^2 .

It is not an unprimeable number, because it can be changed into a prime (413723723327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91468 + ... + 914228.

Almost surely, 2^413723723328 is an apocalyptic number.

413723723328 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 413723723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619525799046).

413723723328 is an abundant number, since it is smaller than the sum of its proper divisors (825327874764).

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

413723723328 is an equidigital number, since it uses as much as digits as its factorization.

413723723328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822882 (or 822863 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 413723723328 in words is "four hundred thirteen billion, seven hundred twenty-three million, seven hundred twenty-three thousand, three hundred twenty-eight".