1442735712 has 288 divisors, whose sum is σ = 4715553024. Its totient is φ = 430272000.

The previous prime is 1442735711. The next prime is 1442735713. The reversal of 1442735712 is 2175372441.

1442735712 is a `hidden beast` number, since 14 + 4 + 2 + 73 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1442735711) and next prime (1442735713).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442735711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8639053 + ... + 8639219.

It is an arithmetic number, because the mean of its divisors is an integer number (16373448).

Almost surely, 2^1442735712 is an apocalyptic number.

1442735712 is a gapful number since it is divisible by the number (12) 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 1442735712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357776512).

1442735712 is an abundant number, since it is smaller than the sum of its proper divisors (3272817312).

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

1442735712 is a wasteful number, since it uses less digits than its factorization.

1442735712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 1442735712 is about 37983.3609887277. The cubic root of 1442735712 is about 1129.9578943770.

The spelling of 1442735712 in words is "one billion, four hundred forty-two million, seven hundred thirty-five thousand, seven hundred twelve".