1442304024 has 128 divisors (see below), whose sum is σ = 4228224000. Its totient is φ = 409812480.

The previous prime is 1442304001. The next prime is 1442304037. The reversal of 1442304024 is 4204032441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1442303985 and 1442304003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983549 + ... + 1984275.

It is an arithmetic number, because the mean of its divisors is an integer number (33033000).

Almost surely, 2^1442304024 is an apocalyptic number.

1442304024 is a gapful number since it is divisible by the number (14) 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 1442304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114112000).

1442304024 is an abundant number, since it is smaller than the sum of its proper divisors (2785919976).

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

1442304024 is a wasteful number, since it uses less digits than its factorization.

1442304024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1442304024 is about 37977.6779700919. The cubic root of 1442304024 is about 1129.8451830609.

Adding to 1442304024 its reverse (4204032441), we get a palindrome (5646336465).

The spelling of 1442304024 in words is "one billion, four hundred forty-two million, three hundred four thousand, twenty-four".