401101312 has 80 divisors (see below), whose sum is σ = 850874112. Its totient is φ = 188559360.

The previous prime is 401101303. The next prime is 401101313. The reversal of 401101312 is 213101104.

It is a junction number, because it is equal to n+sod(n) for n = 401101292 and 401101301.

It is not an unprimeable number, because it can be changed into a prime (401101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586923 + ... + 587605.

Almost surely, 2^401101312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425437056).

401101312 is an abundant number, since it is smaller than the sum of its proper divisors (449772800).

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

401101312 is an equidigital number, since it uses as much as digits as its factorization.

401101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 401101312 is about 20027.5138746675. The cubic root of 401101312 is about 737.4818914255.

Adding to 401101312 its reverse (213101104), we get a palindrome (614202416).

The spelling of 401101312 in words is "four hundred one million, one hundred one thousand, three hundred twelve".