6440111300 has 72 divisors (see below), whose sum is σ = 16136300544. Its totient is φ = 2185251840.

The previous prime is 6440111299. The next prime is 6440111317. The reversal of 6440111300 is 31110446.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20477 + ... + 115323.

Almost surely, 2^6440111300 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 6440111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068150272).

6440111300 is an abundant number, since it is smaller than the sum of its proper divisors (9696189244).

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

6440111300 is a wasteful number, since it uses less digits than its factorization.

6440111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94965 (or 94958 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6440111300 is about 80250.3040492682. The cubic root of 6440111300 is about 1860.5062117002.

Adding to 6440111300 its reverse (31110446), we get a palindrome (6471221746).

The spelling of 6440111300 in words is "six billion, four hundred forty million, one hundred eleven thousand, three hundred".