1440144640 has 144 divisors (see below), whose sum is σ = 3894065280. Its totient is φ = 505487360.

The previous prime is 1440144593. The next prime is 1440144697. The reversal of 1440144640 is 464410441.

It is a junction number, because it is equal to n+sod(n) for n = 1440144599 and 1440144608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406557 + ... + 410083.

It is an arithmetic number, because the mean of its divisors is an integer number (27042120).

Almost surely, 2^1440144640 is an apocalyptic number.

1440144640 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 1440144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947032640).

1440144640 is an abundant number, since it is smaller than the sum of its proper divisors (2453920640).

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

1440144640 is a wasteful number, since it uses less digits than its factorization.

1440144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 1440144640 is about 37949.2376735027. The cubic root of 1440144640 is about 1129.2810421279.

The spelling of 1440144640 in words is "one billion, four hundred forty million, one hundred forty-four thousand, six hundred forty".