400205310440 has 96 divisors (see below), whose sum is σ = 978137554680. Its totient is φ = 147301180416.

The previous prime is 400205310437. The next prime is 400205310443. The reversal of 400205310440 is 44013502004.

It is an interprime number because it is at equal distance from previous prime (400205310437) and next prime (400205310443).

It can be written as a sum of positive squares in 12 ways, for example, as 45439743556 + 354765566884 = 213166^2 + 595622^2 .

It is not an unprimeable number, because it can be changed into a prime (400205310443) 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 23 ways as a sum of consecutive naturals, for example, 2049542 + ... + 2236298.

Almost surely, 2^400205310440 is an apocalyptic number.

400205310440 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 400205310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489068777340).

400205310440 is an abundant number, since it is smaller than the sum of its proper divisors (577932244240).

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

400205310440 is a wasteful number, since it uses less digits than its factorization.

400205310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187111 (or 187094 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 400205310440 its reverse (44013502004), we get a palindrome (444218812444).

The spelling of 400205310440 in words is "four hundred billion, two hundred five million, three hundred ten thousand, four hundred forty".