1442242560 has 336 divisors, whose sum is σ = 5124864528. Its totient is φ = 346030080.

The previous prime is 1442242553. The next prime is 1442242567. The reversal of 1442242560 is 652422441.

It is an interprime number because it is at equal distance from previous prime (1442242553) and next prime (1442242567).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442242567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14868432 + ... + 14868528.

It is an arithmetic number, because the mean of its divisors is an integer number (15252573).

Almost surely, 2^1442242560 is an apocalyptic number.

1442242560 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 1442242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562432264).

1442242560 is an abundant number, since it is smaller than the sum of its proper divisors (3682621968).

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

1442242560 is an equidigital number, since it uses as much as digits as its factorization.

1442242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1442242560 is about 37976.8687492795. The cubic root of 1442242560 is about 1129.8291333262.

The spelling of 1442242560 in words is "one billion, four hundred forty-two million, two hundred forty-two thousand, five hundred sixty".