6440440446 has 96 divisors (see below), whose sum is σ = 16554271968. Its totient is φ = 1787166720.

The previous prime is 6440440439. The next prime is 6440440481.

6440440446 is a `hidden beast` number, since 644 + 0 + 4 + 4 + 0 + 4 + 4 + 6 = 666.

6440440446 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6440440446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98686 + ... + 150398.

It is an arithmetic number, because the mean of its divisors is an integer number (172440333).

Almost surely, 2^6440440446 is an apocalyptic number.

6440440446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440440446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277135984).

6440440446 is an abundant number, since it is smaller than the sum of its proper divisors (10113831522).

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

6440440446 is a wasteful number, since it uses less digits than its factorization.

6440440446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51786 (or 51783 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 6440440446 is about 80252.3547691904. The cubic root of 6440440446 is about 1860.5379072055.

The spelling of 6440440446 in words is "six billion, four hundred forty million, four hundred forty thousand, four hundred forty-six".