4456440647680 has 624 divisors, whose sum is σ = 12736378552320. Its totient is φ = 1492004634624.

The previous prime is 4456440647677. The next prime is 4456440647683. The reversal of 4456440647680 is 867460446544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4456440647677) and next prime (4456440647683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456440647683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9303633681 + ... + 9303634159.

Almost surely, 2^{4456440647680} is an apocalyptic number.

4456440647680 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 4456440647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368189276160).

4456440647680 is an abundant number, since it is smaller than the sum of its proper divisors (8279937904640).

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

4456440647680 is a wasteful number, since it uses less digits than its factorization.

4456440647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 58.

The spelling of 4456440647680 in words is "four trillion, four hundred fifty-six billion, four hundred forty million, six hundred forty-seven thousand, six hundred eighty".