401014311320 has 192 divisors, whose sum is σ = 1079384685120. Its totient is φ = 131339400192.

The previous prime is 401014311259. The next prime is 401014311323. The reversal of 401014311320 is 23113410104.

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 = 401014311292 and 401014311301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401014311323) 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 47 ways as a sum of consecutive naturals, for example, 161893922 + ... + 161896398.

It is an arithmetic number, because the mean of its divisors is an integer number (5621795235).

Almost surely, 2^401014311320 is an apocalyptic number.

401014311320 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 401014311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539692342560).

401014311320 is an abundant number, since it is smaller than the sum of its proper divisors (678370373800).

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

401014311320 is a wasteful number, since it uses less digits than its factorization.

401014311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 401014311320 its reverse (23113410104), we get a palindrome (424127721424).

The spelling of 401014311320 in words is "four hundred one billion, fourteen million, three hundred eleven thousand, three hundred twenty".