1442814400 has 168 divisors, whose sum is σ = 3860149760. Its totient is φ = 528768000.

The previous prime is 1442814341. The next prime is 1442814427. The reversal of 1442814400 is 44182441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941635 + ... + 943165.

Almost surely, 2^1442814400 is an apocalyptic number.

1442814400 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 1442814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930074880).

1442814400 is an abundant number, since it is smaller than the sum of its proper divisors (2417335360).

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

1442814400 is a wasteful number, since it uses less digits than its factorization.

1442814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 1442814400 is about 37984.3967965795. The cubic root of 1442814400 is about 1129.9784369498.

Adding to 1442814400 its reverse (44182441), we get a palindrome (1486996841).

The spelling of 1442814400 in words is "one billion, four hundred forty-two million, eight hundred fourteen thousand, four hundred".