1034441000 has 64 divisors (see below), whose sum is σ = 2434536000. Its totient is φ = 411393600.

The previous prime is 1034440987. The next prime is 1034441003. The reversal of 1034441000 is 1444301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034441000.

It is not an unprimeable number, because it can be changed into a prime (1034441003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176111 + ... + 181889.

It is an arithmetic number, because the mean of its divisors is an integer number (38039625).

Almost surely, 2^1034441000 is an apocalyptic number.

1034441000 is a gapful number since it is divisible by the number (10) 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 1034441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217268000).

1034441000 is an abundant number, since it is smaller than the sum of its proper divisors (1400095000).

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

1034441000 is a wasteful number, since it uses less digits than its factorization.

1034441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1034441000 is about 32162.7268744427. The cubic root of 1034441000 is about 1011.3510006111.

Adding to 1034441000 its reverse (1444301), we get a palindrome (1035885301).

The spelling of 1034441000 in words is "one billion, thirty-four million, four hundred forty-one thousand".