2004311201440 has 384 divisors, whose sum is σ = 5257282060800. Its totient is φ = 719566848000.

The previous prime is 2004311201429. The next prime is 2004311201441. The reversal of 2004311201440 is 441021134002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2004311201441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616519815 + ... + 616523065.

It is an arithmetic number, because the mean of its divisors is an integer number (13690838700).

Almost surely, 2^{2004311201440} is an apocalyptic number.

2004311201440 is a gapful number since it is divisible by the number (20) 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 2004311201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628641030400).

2004311201440 is an abundant number, since it is smaller than the sum of its proper divisors (3252970859360).

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

2004311201440 is a wasteful number, since it uses less digits than its factorization.

2004311201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2004311201440 its reverse (441021134002), we get a palindrome (2445332335442).

The spelling of 2004311201440 in words is "two trillion, four billion, three hundred eleven million, two hundred one thousand, four hundred forty".