1442488320 has 672 divisors, whose sum is σ = 6297363072. Its totient is φ = 297271296.

The previous prime is 1442488319. The next prime is 1442488339. The reversal of 1442488320 is 238842441.

1442488320 is a `hidden beast` number, since 144 + 2 + 488 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33546219 + ... + 33546261.

It is an arithmetic number, because the mean of its divisors is an integer number (9371076).

Almost surely, 2^1442488320 is an apocalyptic number.

1442488320 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 1442488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148681536).

1442488320 is an abundant number, since it is smaller than the sum of its proper divisors (4854874752).

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

1442488320 is a wasteful number, since it uses less digits than its factorization.

1442488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1442488320 is about 37980.1042652597. The cubic root of 1442488320 is about 1129.8933044638.

The spelling of 1442488320 in words is "one billion, four hundred forty-two million, four hundred eighty-eight thousand, three hundred twenty".