401011128 has 128 divisors (see below), whose sum is σ = 1278451200. Its totient is φ = 114089472.

The previous prime is 401011099. The next prime is 401011139. The reversal of 401011128 is 821110104.

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 401011128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509151 + ... + 509937.

It is an arithmetic number, because the mean of its divisors is an integer number (9987900).

Almost surely, 2^401011128 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 401011128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639225600).

401011128 is an abundant number, since it is smaller than the sum of its proper divisors (877440072).

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

401011128 is a wasteful number, since it uses less digits than its factorization.

401011128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

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

The square root of 401011128 is about 20025.2622454738. The cubic root of 401011128 is about 737.4266152395.

The spelling of 401011128 in words is "four hundred one million, eleven thousand, one hundred twenty-eight".