4004406605440 has 32 divisors (see below), whose sum is σ = 9573034542660. Its totient is φ = 1601762641920.

The previous prime is 4004406605377. The next prime is 4004406605447. The reversal of 4004406605440 is 445066044004.

It can be written as a sum of positive squares in 2 ways, for example, as 3481747011136 + 522659594304 = 1865944^2 + 722952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4004406605440.

It is not an unprimeable number, because it can be changed into a prime (4004406605447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3128442021 + ... + 3128443300.

Almost surely, 2^{4004406605440} is an apocalyptic number.

4004406605440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004406605440 is an abundant number, since it is smaller than the sum of its proper divisors (5568627937220).

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

4004406605440 is an equidigital number, since it uses as much as digits as its factorization.

4004406605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256885340 (or 6256885328 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 4004406605440 in words is "four trillion, four billion, four hundred six million, six hundred five thousand, four hundred forty".