2004335321440 has 48 divisors (see below), whose sum is σ = 4747415203440. Its totient is φ = 799673090560.

The previous prime is 2004335321413. The next prime is 2004335321459. The reversal of 2004335321440 is 441235334002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16039426 + ... + 16163905.

It is an arithmetic number, because the mean of its divisors is an integer number (98904483405).

Almost surely, 2^{2004335321440} is an apocalyptic number.

2004335321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004335321440 is an abundant number, since it is smaller than the sum of its proper divisors (2743079882000).

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

2004335321440 is a wasteful number, since it uses less digits than its factorization.

2004335321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32203735 (or 32203727 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 2004335321440 in words is "two trillion, four billion, three hundred thirty-five million, three hundred twenty-one thousand, four hundred forty".