4438641672400 has 480 divisors, whose sum is σ = 12239372880000. Its totient is φ = 1533362503680.

The previous prime is 4438641672373. The next prime is 4438641672401. The reversal of 4438641672400 is 42761468344.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4438641672401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4231307076 + ... + 4231308124.

It is an arithmetic number, because the mean of its divisors is an integer number (25498693500).

Almost surely, 2^{4438641672400} is an apocalyptic number.

4438641672400 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 4438641672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119686440000).

4438641672400 is an abundant number, since it is smaller than the sum of its proper divisors (7800731207600).

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

4438641672400 is a wasteful number, since it uses less digits than its factorization.

4438641672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 4438641672400 in words is "four trillion, four hundred thirty-eight billion, six hundred forty-one million, six hundred seventy-two thousand, four hundred".