400211313320 has 384 divisors, whose sum is σ = 1183468320000. Its totient is φ = 118851452928.

The previous prime is 400211313319. The next prime is 400211313329. The reversal of 400211313320 is 23313112004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400211313292 and 400211313301.

It is not an unprimeable number, because it can be changed into a prime (400211313329) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 401415062 + ... + 401416058.

It is an arithmetic number, because the mean of its divisors is an integer number (3081948750).

Almost surely, 2^400211313320 is an apocalyptic number.

400211313320 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 400211313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591734160000).

400211313320 is an abundant number, since it is smaller than the sum of its proper divisors (783257006680).

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

400211313320 is a wasteful number, since it uses less digits than its factorization.

400211313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 400211313320 its reverse (23313112004), we get a palindrome (423524425324).

The spelling of 400211313320 in words is "four hundred billion, two hundred eleven million, three hundred thirteen thousand, three hundred twenty".