1444785120 has 384 divisors, whose sum is σ = 5434490880. Its totient is φ = 357212160.

The previous prime is 1444785109. The next prime is 1444785143. The reversal of 1444785120 is 215874441.

It is a happy number.

1444785120 is a `hidden beast` number, since 14 + 447 + 85 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7564225 + ... + 7564415.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2^1444785120 is an apocalyptic number.

1444785120 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 1444785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717245440).

1444785120 is an abundant number, since it is smaller than the sum of its proper divisors (3989705760).

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

1444785120 is a wasteful number, since it uses less digits than its factorization.

1444785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1444785120 is about 38010.3291224898. The cubic root of 1444785120 is about 1130.4926768017.

The spelling of 1444785120 in words is "one billion, four hundred forty-four million, seven hundred eighty-five thousand, one hundred twenty".