1444642560 has 144 divisors (see below), whose sum is σ = 5126597280. Its totient is φ = 385228800.

The previous prime is 1444642513. The next prime is 1444642613. The reversal of 1444642560 is 652464441.

1444642560 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 642 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 13660 + ... + 55460.

It is an arithmetic number, because the mean of its divisors is an integer number (35601370).

Almost surely, 2^1444642560 is an apocalyptic number.

1444642560 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 1444642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563298640).

1444642560 is an abundant number, since it is smaller than the sum of its proper divisors (3681954720).

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

1444642560 is an equidigital number, since it uses as much as digits as its factorization.

1444642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41831 (or 41811 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1444642560 is about 38008.4537964911. The cubic root of 1444642560 is about 1130.4554928784.

The spelling of 1444642560 in words is "one billion, four hundred forty-four million, six hundred forty-two thousand, five hundred sixty".