1442269920 has 576 divisors, whose sum is σ = 5863959360. Its totient is φ = 295206912.

The previous prime is 1442269903. The next prime is 1442269921. The reversal of 1442269920 is 299622441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442269921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16205236 + ... + 16205324.

It is an arithmetic number, because the mean of its divisors is an integer number (10180485).

Almost surely, 2^1442269920 is an apocalyptic number.

1442269920 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 1442269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931979680).

1442269920 is an abundant number, since it is smaller than the sum of its proper divisors (4421689440).

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

1442269920 is a wasteful number, since it uses less digits than its factorization.

1442269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1442269920 is about 37977.2289668427. The cubic root of 1442269920 is about 1129.8362777392.

The spelling of 1442269920 in words is "one billion, four hundred forty-two million, two hundred sixty-nine thousand, nine hundred twenty".