4461001140 has 96 divisors (see below), whose sum is σ = 12610523520. Its totient is φ = 1178251776.

The previous prime is 4461001079. The next prime is 4461001147. The reversal of 4461001140 is 411001644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461001147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4172526 + ... + 4173594.

It is an arithmetic number, because the mean of its divisors is an integer number (131359620).

Almost surely, 2^4461001140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305261760).

4461001140 is an abundant number, since it is smaller than the sum of its proper divisors (8149522380).

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

4461001140 is a wasteful number, since it uses less digits than its factorization.

4461001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1679 counting only the distinct ones).

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

The square root of 4461001140 is about 66790.7264521056. The cubic root of 4461001140 is about 1646.1804690640.

Adding to 4461001140 its reverse (411001644), we get a palindrome (4872002784).

The spelling of 4461001140 in words is "four billion, four hundred sixty-one million, one thousand, one hundred forty".