1442301120 has 224 divisors, whose sum is σ = 5479938240. Its totient is φ = 355000320.

The previous prime is 1442301101. The next prime is 1442301121. The reversal of 1442301120 is 211032441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1442301093 and 1442301102.

It is not an unprimeable number, because it can be changed into a prime (1442301121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105900 + ... + 118740.

It is an arithmetic number, because the mean of its divisors is an integer number (24464010).

Almost surely, 2^1442301120 is an apocalyptic number.

1442301120 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 1442301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739969120).

1442301120 is an abundant number, since it is smaller than the sum of its proper divisors (4037637120).

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

1442301120 is a wasteful number, since it uses less digits than its factorization.

1442301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1442301120 is about 37977.6397370874. The cubic root of 1442301120 is about 1129.8444247666.

Adding to 1442301120 its reverse (211032441), we get a palindrome (1653333561).

The spelling of 1442301120 in words is "one billion, four hundred forty-two million, three hundred one thousand, one hundred twenty".