1442116800 has 504 divisors, whose sum is σ = 5593878576. Its totient is φ = 350945280.

The previous prime is 1442116771. The next prime is 1442116867. The reversal of 1442116800 is 86112441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10526332 + ... + 10526468.

Almost surely, 2^1442116800 is an apocalyptic number.

1442116800 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 1442116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796939288).

1442116800 is an abundant number, since it is smaller than the sum of its proper divisors (4151761776).

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

1442116800 is a wasteful number, since it uses less digits than its factorization.

1442116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1442116800 is about 37975.2129684614. The cubic root of 1442116800 is about 1129.7962929321.

The spelling of 1442116800 in words is "one billion, four hundred forty-two million, one hundred sixteen thousand, eight hundred".