4407680080000 has 80 divisors (see below), whose sum is σ = 10972644278310. Its totient is φ = 1763072000000.

The previous prime is 4407680079977. The next prime is 4407680080003. The reversal of 4407680080000 is 800867044.

It can be written as a sum of positive squares in 5 ways, for example, as 921154613824 + 3486525466176 = 959768^2 + 1867224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4407680080003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27468001 + ... + 27628000.

Almost surely, 2^{4407680080000} is an apocalyptic number.

4407680080000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4407680080000 is an abundant number, since it is smaller than the sum of its proper divisors (6564964198310).

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

4407680080000 is an frugal number, since it uses more digits than its factorization.

4407680080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55096035 (or 55096008 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 4407680080000 in words is "four trillion, four hundred seven billion, six hundred eighty million, eighty thousand".