1440072000 has 448 divisors, whose sum is σ = 5420563200. Its totient is φ = 374169600.

The previous prime is 1440071977. The next prime is 1440072013. The reversal of 1440072000 is 2700441.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12743944 + ... + 12744056.

Almost surely, 2^1440072000 is an apocalyptic number.

1440072000 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 1440072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710281600).

1440072000 is an abundant number, since it is smaller than the sum of its proper divisors (3980491200).

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

1440072000 is a wasteful number, since it uses less digits than its factorization.

1440072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1440072000 is about 37948.2805934604. The cubic root of 1440072000 is about 1129.2620550641.

Adding to 1440072000 its reverse (2700441), we get a palindrome (1442772441).

The spelling of 1440072000 in words is "one billion, four hundred forty million, seventy-two thousand".