400809333568 has 168 divisors, whose sum is σ = 939358820288. Its totient is φ = 166187593728.

The previous prime is 400809333527. The next prime is 400809333569. The reversal of 400809333568 is 865333908004.

It is a happy number.

It is a super-2 number, since 2×400809333568² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400809333569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91863355 + ... + 91867717.

Almost surely, 2^400809333568 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 400809333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469679410144).

400809333568 is an abundant number, since it is smaller than the sum of its proper divisors (538549486720).

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

400809333568 is an equidigital number, since it uses as much as digits as its factorization.

400809333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 400809333568 in words is "four hundred billion, eight hundred nine million, three hundred thirty-three thousand, five hundred sixty-eight".