1006141440 has 256 divisors, whose sum is σ = 3397334400. Its totient is φ = 253755392.

The previous prime is 1006141403. The next prime is 1006141441. The reversal of 1006141440 is 441416001.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (1006141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11304916 + ... + 11305004.

Almost surely, 2^1006141440 is an apocalyptic number.

1006141440 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 1006141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698667200).

1006141440 is an abundant number, since it is smaller than the sum of its proper divisors (2391192960).

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

1006141440 is an frugal number, since it uses more digits than its factorization.

1006141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1006141440 is about 31719.7326596553. The cubic root of 1006141440 is about 1002.0429700976.

Adding to 1006141440 its reverse (441416001), we get a palindrome (1447557441).

The spelling of 1006141440 in words is "one billion, six million, one hundred forty-one thousand, four hundred forty".