1442511840 has 384 divisors, whose sum is σ = 5852528640. Its totient is φ = 289843200.

The previous prime is 1442511821. The next prime is 1442511857. The reversal of 1442511840 is 481152441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1442511798 and 1442511807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145131 + ... + 1146389.

It is an arithmetic number, because the mean of its divisors is an integer number (15240960).

Almost surely, 2^1442511840 is an apocalyptic number.

1442511840 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 1442511840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

1442511840 is an abundant number, since it is smaller than the sum of its proper divisors (4410016800).

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

1442511840 is a wasteful number, since it uses less digits than its factorization.

1442511840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1442511840 is about 37980.4138997984. The cubic root of 1442511840 is about 1129.8994454601.

The spelling of 1442511840 in words is "one billion, four hundred forty-two million, five hundred eleven thousand, eight hundred forty".