1001440440 has 576 divisors, whose sum is σ = 4459160160. Its totient is φ = 191600640.

The previous prime is 1001440439. The next prime is 1001440481. The reversal of 1001440440 is 440441001.

1001440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2522322 + ... + 2522718.

Almost surely, 2^1001440440 is an apocalyptic number.

1001440440 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 1001440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229580080).

1001440440 is an abundant number, since it is smaller than the sum of its proper divisors (3457719720).

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

1001440440 is a wasteful number, since it uses less digits than its factorization.

1001440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1001440440 is about 31645.5437621160. The cubic root of 1001440440 is about 1000.4799163102.

Adding to 1001440440 its reverse (440441001), we get a palindrome (1441881441).

The spelling of 1001440440 in words is "one billion, one million, four hundred forty thousand, four hundred forty".