441042000 has 160 divisors (see below), whose sum is σ = 1625205504. Its totient is φ = 100800000.

The previous prime is 441041963. The next prime is 441042011. The reversal of 441042000 is 240144.

It is a Cunningham number, because it is equal to 21001²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36750 + ... + 47250.

Almost surely, 2^441042000 is an apocalyptic number.

441042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812602752).

441042000 is an abundant number, since it is smaller than the sum of its proper divisors (1184163504).

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

441042000 is a wasteful number, since it uses less digits than its factorization.

441042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 441042000 is about 21000.9999761916. Note that the first 4 decimals coincide. The cubic root of 441042000 is about 761.1904243432.

Adding to 441042000 its reverse (240144), we get a palindrome (441282144).

The spelling of 441042000 in words is "four hundred forty-one million, forty-two thousand".