1442400288 has 96 divisors (see below), whose sum is σ = 4515388416. Its totient is φ = 394192128.

The previous prime is 1442400269. The next prime is 1442400293. The reversal of 1442400288 is 8820042441.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 31206 + ... + 62117.

It is an arithmetic number, because the mean of its divisors is an integer number (47035296).

Almost surely, 2^1442400288 is an apocalyptic number.

It is an amenable number.

1442400288 is an abundant number, since it is smaller than the sum of its proper divisors (3072988128).

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

1442400288 is a wasteful number, since it uses less digits than its factorization.

1442400288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93366 (or 93358 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 1442400288 is about 37978.9453250087. The cubic root of 1442400288 is about 1129.8703189997.

The spelling of 1442400288 in words is "one billion, four hundred forty-two million, four hundred thousand, two hundred eighty-eight".