83443000440 has 128 divisors (see below), whose sum is σ = 255715776000. Its totient is φ = 21776325120.

The previous prime is 83443000423. The next prime is 83443000441. The reversal of 83443000440 is 4400034438.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83443000398 and 83443000407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83443000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428039 + ... + 1485321.

It is an arithmetic number, because the mean of its divisors is an integer number (1997779500).

Almost surely, 2^83443000440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83443000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127857888000).

83443000440 is an abundant number, since it is smaller than the sum of its proper divisors (172272775560).

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

83443000440 is a wasteful number, since it uses less digits than its factorization.

83443000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57557 (or 57553 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 83443000440 its reverse (4400034438), we get a palindrome (87843034878).

The spelling of 83443000440 in words is "eighty-three billion, four hundred forty-three million, four hundred forty", and thus it is an aban number.