6440109120 has 140 divisors (see below), whose sum is σ = 22908693324. Its totient is φ = 1717355520.

The previous prime is 6440109107. The next prime is 6440109121. The reversal of 6440109120 is 219010446.

6440109120 is a `hidden beast` number, since 644 + 0 + 1 + 0 + 9 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1672482816 + 4767626304 = 40896^2 + 69048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6440109121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98311 + ... + 150150.

Almost surely, 2^6440109120 is an apocalyptic number.

6440109120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6440109120 is an abundant number, since it is smaller than the sum of its proper divisors (16468584204).

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

6440109120 is a wasteful number, since it uses less digits than its factorization.

6440109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248490 (or 248471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6440109120 is about 80250.2904667640. The cubic root of 6440109120 is about 1860.5060017709.

Adding to 6440109120 its reverse (219010446), we get a palindrome (6659119566).

The spelling of 6440109120 in words is "six billion, four hundred forty million, one hundred nine thousand, one hundred twenty".