401314104020 has 48 divisors (see below), whose sum is σ = 892095240960. Its totient is φ = 151385840256.

The previous prime is 401314104013. The next prime is 401314104043. The reversal of 401314104020 is 20401413104.

It is a super-3 number, since 3×401314104020³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 401314103983 and 401314104001.

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 15 ways as a sum of consecutive naturals, for example, 8020652 + ... + 8070531.

It is an arithmetic number, because the mean of its divisors is an integer number (18585317520).

Almost surely, 2^401314104020 is an apocalyptic number.

It is an amenable number.

401314104020 is an abundant number, since it is smaller than the sum of its proper divisors (490781136940).

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

401314104020 is a wasteful number, since it uses less digits than its factorization.

401314104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16091264 (or 16091262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 401314104020 its reverse (20401413104), we get a palindrome (421715517124).

The spelling of 401314104020 in words is "four hundred one billion, three hundred fourteen million, one hundred four thousand, twenty".