1020440000 has 140 divisors (see below), whose sum is σ = 2566166064. Its totient is φ = 402432000.

The previous prime is 1020439997. The next prime is 1020440017. The reversal of 1020440000 is 440201.

1020440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3879869 + ... + 3880131.

Almost surely, 2^1020440000 is an apocalyptic number.

1020440000 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 1020440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283083032).

1020440000 is an abundant number, since it is smaller than the sum of its proper divisors (1545726064).

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

1020440000 is an frugal number, since it uses more digits than its factorization.

1020440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1020440000 is about 31944.3265698308. The cubic root of 1020440000 is about 1006.7674318871.

Adding to 1020440000 its reverse (440201), we get a palindrome (1020880201).

The spelling of 1020440000 in words is "one billion, twenty million, four hundred forty thousand".