1442075264 has 64 divisors (see below), whose sum is σ = 3312584640. Its totient is φ = 612519936.

The previous prime is 1442075213. The next prime is 1442075287. The reversal of 1442075264 is 4625702441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 94127 + ... + 108369.

It is an arithmetic number, because the mean of its divisors is an integer number (51759135).

Almost surely, 2^1442075264 is an apocalyptic number.

1442075264 is a gapful number since it is divisible by the number (14) 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 1442075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656292320).

1442075264 is an abundant number, since it is smaller than the sum of its proper divisors (1870509376).

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

1442075264 is a wasteful number, since it uses less digits than its factorization.

1442075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14377 (or 14365 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 1442075264 is about 37974.6660814812. Note that the first 3 decimals coincide. The cubic root of 1442075264 is about 1129.7854459907.

The spelling of 1442075264 in words is "one billion, four hundred forty-two million, seventy-five thousand, two hundred sixty-four".