401100444 has 96 divisors (see below), whose sum is σ = 1096704000. Its totient is φ = 126584640.

The previous prime is 401100439. The next prime is 401100463. The reversal of 401100444 is 444001104.

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

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, 156082 + ... + 158630.

It is an arithmetic number, because the mean of its divisors is an integer number (11424000).

Almost surely, 2^401100444 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 401100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352000).

401100444 is an abundant number, since it is smaller than the sum of its proper divisors (695603556).

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

401100444 is a wasteful number, since it uses less digits than its factorization.

401100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 401100444 is about 20027.4922044673. The cubic root of 401100444 is about 737.4813594446.

Adding to 401100444 its reverse (444001104), we get a palindrome (845101548).

The spelling of 401100444 in words is "four hundred one million, one hundred thousand, four hundred forty-four".