1010440000 has 70 divisors (see below), whose sum is σ = 2505661994. Its totient is φ = 404160000.

The previous prime is 1010439949. The next prime is 1010440021. The reversal of 1010440000 is 440101.

It can be written as a sum of positive squares in 5 ways, for example, as 605947456 + 404492544 = 24616^2 + 20112^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 27370 + ... + 52630.

Almost surely, 2^1010440000 is an apocalyptic number.

1010440000 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 1010440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252830997).

1010440000 is an abundant number, since it is smaller than the sum of its proper divisors (1495221994).

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

1010440000 is an frugal number, since it uses more digits than its factorization.

1010440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25293 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1010440000 is about 31787.4188949024. The cubic root of 1010440000 is about 1003.4679593552.

Adding to 1010440000 its reverse (440101), we get a palindrome (1010880101).

The spelling of 1010440000 in words is "one billion, ten million, four hundred forty thousand".