1442204152000 has 224 divisors, whose sum is σ = 3609372349440. Its totient is φ = 570810240000.

The previous prime is 1442204151917. The next prime is 1442204152013. The reversal of 1442204152000 is 2514022441.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 397190185 + ... + 397193815.

Almost surely, 2^{1442204152000} is an apocalyptic number.

1442204152000 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 1442204152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804686174720).

1442204152000 is an abundant number, since it is smaller than the sum of its proper divisors (2167168197440).

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

1442204152000 is a wasteful number, since it uses less digits than its factorization.

1442204152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1442204152000 its reverse (2514022441), we get a palindrome (1444718174441).

The spelling of 1442204152000 in words is "one trillion, four hundred forty-two billion, two hundred four million, one hundred fifty-two thousand".