1001444040 has 256 divisors, whose sum is σ = 3459456000. Its totient is φ = 257541120.

The previous prime is 1001444011. The next prime is 1001444047. The reversal of 1001444040 is 404441001.

1001444040 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 not an unprimeable number, because it can be changed into a prime (1001444047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5532750 + ... + 5532930.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2^1001444040 is an apocalyptic number.

1001444040 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 1001444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728000).

1001444040 is an abundant number, since it is smaller than the sum of its proper divisors (2458011960).

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

1001444040 is a wasteful number, since it uses less digits than its factorization.

1001444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

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

The square root of 1001444040 is about 31645.6006421114. The cubic root of 1001444040 is about 1000.4811151578.

Adding to 1001444040 its reverse (404441001), we get a palindrome (1405885041).

The spelling of 1001444040 in words is "one billion, one million, four hundred forty-four thousand, forty".