4001440441020 has 192 divisors, whose sum is σ = 12573764130816. Its totient is φ = 942475909120.

The previous prime is 4001440440953. The next prime is 4001440441043. The reversal of 4001440441020 is 201440441004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3778954 + ... + 4720526.

It is an arithmetic number, because the mean of its divisors is an integer number (65488354848).

Almost surely, 2^{4001440441020} 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 4001440441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286882065408).

4001440441020 is an abundant number, since it is smaller than the sum of its proper divisors (8572323689796).

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

4001440441020 is a wasteful number, since it uses less digits than its factorization.

4001440441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941780 (or 941778 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4001440441020 its reverse (201440441004), we get a palindrome (4202880882024).

The spelling of 4001440441020 in words is "four trillion, one billion, four hundred forty million, four hundred forty-one thousand, twenty".