1440114720 has 192 divisors, whose sum is σ = 5064643584. Its totient is φ = 340945920.

The previous prime is 1440114713. The next prime is 1440114743. The reversal of 1440114720 is 274110441.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 223869 + ... + 230211.

It is an arithmetic number, because the mean of its divisors is an integer number (26378352).

Almost surely, 2^1440114720 is an apocalyptic number.

1440114720 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 1440114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532321792).

1440114720 is an abundant number, since it is smaller than the sum of its proper divisors (3624528864).

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

1440114720 is a wasteful number, since it uses less digits than its factorization.

1440114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1440114720 is about 37948.8434606379. The cubic root of 1440114720 is about 1129.2732215424.

The spelling of 1440114720 in words is "one billion, four hundred forty million, one hundred fourteen thousand, seven hundred twenty".