443138688000 has 704 divisors, whose sum is σ = 1659095792640. Its totient is φ = 118095667200.

The previous prime is 443138687939. The next prime is 443138688011. The reversal of 443138688000 is 886831344.

It is a super-2 number, since 2×443138688000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 279935209 + ... + 279936791.

It is an arithmetic number, because the mean of its divisors is an integer number (2356670160).

Almost surely, 2^443138688000 is an apocalyptic number.

443138688000 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 443138688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829547896320).

443138688000 is an abundant number, since it is smaller than the sum of its proper divisors (1215957104640).

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

443138688000 is an frugal number, since it uses more digits than its factorization.

443138688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 443138688000 in words is "four hundred forty-three billion, one hundred thirty-eight million, six hundred eighty-eight thousand".