401244404320 has 192 divisors, whose sum is σ = 993873888000. Its totient is φ = 152924405760.

The previous prime is 401244404299. The next prime is 401244404333. The reversal of 401244404320 is 23404442104.

It is a super-2 number, since 2×401244404320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86305356 + ... + 86310004.

It is an arithmetic number, because the mean of its divisors is an integer number (5176426500).

Almost surely, 2^401244404320 is an apocalyptic number.

401244404320 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 401244404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496936944000).

401244404320 is an abundant number, since it is smaller than the sum of its proper divisors (592629483680).

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

401244404320 is a wasteful number, since it uses less digits than its factorization.

401244404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 401244404320 its reverse (23404442104), we get a palindrome (424648846424).

It can be divided in two parts, 40124 and 4404320, that added together give a palindrome (4444444).

The spelling of 401244404320 in words is "four hundred one billion, two hundred forty-four million, four hundred four thousand, three hundred twenty".