4004004440460 has 96 divisors (see below), whose sum is σ = 11300043928320. Its totient is φ = 1059297668352.

The previous prime is 4004004440459. The next prime is 4004004440479. The reversal of 4004004440460 is 640444004004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5142546 + ... + 5869734.

It is an arithmetic number, because the mean of its divisors is an integer number (117708790920).

Almost surely, 2^{4004004440460} 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 4004004440460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650021964160).

4004004440460 is an abundant number, since it is smaller than the sum of its proper divisors (7296039487860).

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

4004004440460 is a wasteful number, since it uses less digits than its factorization.

4004004440460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727927 (or 727925 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4004004440460 its reverse (640444004004), we get a palindrome (4644448444464).

The spelling of 4004004440460 in words is "four trillion, four billion, four million, four hundred forty thousand, four hundred sixty".