1442822400 has 324 divisors, whose sum is σ = 5305657812. Its totient is φ = 373800960.

The previous prime is 1442822389. The next prime is 1442822417. The reversal of 1442822400 is 42282441.

1442822400 is a `hidden beast` number, since 14 + 428 + 224 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 261662976 + 1181159424 = 16176^2 + 34368^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2130862 + ... + 2131538.

Almost surely, 2^1442822400 is an apocalyptic number.

1442822400 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 1442822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652828906).

1442822400 is an abundant number, since it is smaller than the sum of its proper divisors (3862835412).

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

1442822400 is a wasteful number, since it uses less digits than its factorization.

1442822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1442822400 is about 37984.5021028314. The cubic root of 1442822400 is about 1129.9805254168.

It can be divided in two parts, 144 and 2822400, that multiplied together give a square (406425600 = 20160²).

The spelling of 1442822400 in words is "one billion, four hundred forty-two million, eight hundred twenty-two thousand, four hundred".