4404000000400 has 720 divisors, whose sum is σ = 14427339055488. Its totient is φ = 1254389760000.

The previous prime is 4404000000397. The next prime is 4404000000409. The reversal of 4404000000400 is 40000004044.

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

It is not an unprimeable number, because it can be changed into a prime (4404000000409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 525721012 + ... + 525729388.

Almost surely, 2^{4404000000400} is an apocalyptic number.

4404000000400 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 4404000000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213669527744).

4404000000400 is an abundant number, since it is smaller than the sum of its proper divisors (10023339055088).

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

4404000000400 is a wasteful number, since it uses less digits than its factorization.

4404000000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 8516 counting only the distinct ones).

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

Adding to 4404000000400 its reverse (40000004044), we get a palindrome (4444000004444).

It can be divided in two parts, 4 and 404000000400, that added together give a palindrome (404000000404).

The spelling of 4404000000400 in words is "four trillion, four hundred four billion, four hundred", and thus it is an aban number.