4444004004400 has 90 divisors (see below), whose sum is σ = 11268227998932. Its totient is φ = 1684043568000.

The previous prime is 4444004004337. The next prime is 4444004004421. The reversal of 4444004004400 is 44004004444.

It is a super-2 number, since 2×4444004004400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15243426 + ... + 15532225.

Almost surely, 2^{4444004004400} is an apocalyptic number.

4444004004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444004004400 is an abundant number, since it is smaller than the sum of its proper divisors (6824223994532).

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

4444004004400 is a wasteful number, since it uses less digits than its factorization.

4444004004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30775707 (or 30775677 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4444004004400 its reverse (44004004444), we get a palindrome (4488008008844).

The spelling of 4444004004400 in words is "four trillion, four hundred forty-four billion, four million, four thousand, four hundred".