4404888400000 has 384 divisors, whose sum is σ = 12033922904640. Its totient is φ = 1592640000000.

The previous prime is 4404888399949. The next prime is 4404888400037. The reversal of 4404888400000 is 48884044.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796397235 + ... + 796402765.

Almost surely, 2^{4404888400000} is an apocalyptic number.

4404888400000 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 4404888400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016961452320).

4404888400000 is an abundant number, since it is smaller than the sum of its proper divisors (7629034504640).

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

4404888400000 is an equidigital number, since it uses as much as digits as its factorization.

4404888400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

It can be divided in two parts, 440488 and 8400000, that added together give a palindrome (8840488).

The spelling of 4404888400000 in words is "four trillion, four hundred four billion, eight hundred eighty-eight million, four hundred thousand".