401111028 has 60 divisors (see below), whose sum is σ = 1066406880. Its totient is φ = 131431248.

The previous prime is 401111003. The next prime is 401111041. The reversal of 401111028 is 820111104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 401111028.

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 19 ways as a sum of consecutive naturals, for example, 8625 + ... + 29607.

It is an arithmetic number, because the mean of its divisors is an integer number (17773448).

Almost surely, 2^401111028 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 401111028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533203440).

401111028 is an abundant number, since it is smaller than the sum of its proper divisors (665295852).

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

401111028 is a wasteful number, since it uses less digits than its factorization.

401111028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21058 (or 21047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 401111028 is about 20027.7564395017. The cubic root of 401111028 is about 737.4878461274.

The spelling of 401111028 in words is "four hundred one million, one hundred eleven thousand, twenty-eight".