1440001024 has 132 divisors (see below), whose sum is σ = 3654386280. Its totient is φ = 560824320.

The previous prime is 1440000959. The next prime is 1440001049. The reversal of 1440001024 is 4201000441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1440000989 and 1440001007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550632 + ... + 553240.

Almost surely, 2^1440001024 is an apocalyptic number.

1440001024 is a gapful number since it is divisible by the number (14) 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 1440001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827193140).

1440001024 is an abundant number, since it is smaller than the sum of its proper divisors (2214385256).

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

1440001024 is a wasteful number, since it uses less digits than its factorization.

1440001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1440001024 is about 37947.3454144028. The cubic root of 1440001024 is about 1129.2435023296.

Adding to 1440001024 its reverse (4201000441), we get a palindrome (5641001465).

The spelling of 1440001024 in words is "one billion, four hundred forty million, one thousand, twenty-four".