1442838540 has 192 divisors, whose sum is σ = 4769856000. Its totient is φ = 321269760.

The previous prime is 1442838539. The next prime is 1442838547. The reversal of 1442838540 is 458382441.

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

It is not an unprimeable number, because it can be changed into a prime (1442838547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2891211 + ... + 2891709.

It is an arithmetic number, because the mean of its divisors is an integer number (24843000).

Almost surely, 2^1442838540 is an apocalyptic number.

1442838540 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 1442838540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384928000).

1442838540 is an abundant number, since it is smaller than the sum of its proper divisors (3327017460).

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

1442838540 is a wasteful number, since it uses less digits than its factorization.

1442838540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 1442838540 is about 37984.7145573058. The cubic root of 1442838540 is about 1129.9847388755.

The spelling of 1442838540 in words is "one billion, four hundred forty-two million, eight hundred thirty-eight thousand, five hundred forty".