1001440000 has 180 divisors, whose sum is σ = 2729782440. Its totient is φ = 363520000.

The previous prime is 1001439983. The next prime is 1001440021. The reversal of 1001440000 is 441001.

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

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, 1759716 + ... + 1760284.

It is an arithmetic number, because the mean of its divisors is an integer number (15165458).

Almost surely, 2^1001440000 is an apocalyptic number.

1001440000 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 1001440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364891220).

1001440000 is an abundant number, since it is smaller than the sum of its proper divisors (1728342440).

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

1001440000 is an frugal number, since it uses more digits than its factorization.

1001440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 587 counting only the distinct ones).

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

The square root of 1001440000 is about 31645.5368101096. The cubic root of 1001440000 is about 1000.4797697841.

Adding to 1001440000 its reverse (441001), we get a palindrome (1001881001).

It can be divided in two parts, 100 and 1440000, that multiplied together give a square (144000000 = 12000²).

The spelling of 1001440000 in words is "one billion, one million, four hundred forty thousand".