4400004004000 has 384 divisors, whose sum is σ = 12231567129600. Its totient is φ = 1540869120000.

The previous prime is 4400004003977. The next prime is 4400004004021. The reversal of 4400004004000 is 4004000044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521879785 + ... + 521888215.

It is an arithmetic number, because the mean of its divisors is an integer number (31853039400).

Almost surely, 2^{4400004004000} is an apocalyptic number.

4400004004000 is a gapful number since it is divisible by the number (40) 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 4400004004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115783564800).

4400004004000 is an abundant number, since it is smaller than the sum of its proper divisors (7831563125600).

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

4400004004000 is a wasteful number, since it uses less digits than its factorization.

4400004004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4400004004000 its reverse (4004000044), we get a palindrome (4404008004044).

The spelling of 4400004004000 in words is "four trillion, four hundred billion, four million, four thousand".