1442507040 has 288 divisors, whose sum is σ = 5339670336. Its totient is φ = 352512000.

The previous prime is 1442507039. The next prime is 1442507081. The reversal of 1442507040 is 407052441.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1442506995 and 1442507013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4698567 + ... + 4698873.

It is an arithmetic number, because the mean of its divisors is an integer number (18540522).

Almost surely, 2^1442507040 is an apocalyptic number.

1442507040 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 1442507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669835168).

1442507040 is an abundant number, since it is smaller than the sum of its proper divisors (3897163296).

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

1442507040 is a wasteful number, since it uses less digits than its factorization.

1442507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1442507040 is about 37980.3507092812. The cubic root of 1442507040 is about 1129.8981922010.

Adding to 1442507040 its reverse (407052441), we get a palindrome (1849559481).

The spelling of 1442507040 in words is "one billion, four hundred forty-two million, five hundred seven thousand, forty".