1442880000 has 400 divisors, whose sum is σ = 5369031360. Its totient is φ = 382464000.

The previous prime is 1442879993. The next prime is 1442880017. The reversal of 1442880000 is 882441.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639917 + ... + 8640083.

Almost surely, 2^1442880000 is an apocalyptic number.

1442880000 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 1442880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684515680).

1442880000 is an abundant number, since it is smaller than the sum of its proper divisors (3926151360).

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

1442880000 is an frugal number, since it uses more digits than its factorization.

1442880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1442880000 is about 37985.2602992266. The cubic root of 1442880000 is about 1129.9955621514.

The spelling of 1442880000 in words is "one billion, four hundred forty-two million, eight hundred eighty thousand".