8444400488400 has 60 divisors (see below), whose sum is σ = 27050229568352. Its totient is φ = 2251840129920.

The previous prime is 8444400488371. The next prime is 8444400488471. The reversal of 8444400488400 is 48840044448.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8444400488400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3518499004 + ... + 3518501403.

Almost surely, 2^{8444400488400} is an apocalyptic number.

8444400488400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8444400488400 is an abundant number, since it is smaller than the sum of its proper divisors (18605829079952).

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

8444400488400 is a wasteful number, since it uses less digits than its factorization.

8444400488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037000428 (or 7037000417 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 8444400488400 in words is "eight trillion, four hundred forty-four billion, four hundred million, four hundred eighty-eight thousand, four hundred".