4480065070000 has 400 divisors, whose sum is σ = 11816164217088. Its totient is φ = 1635154560000.

The previous prime is 4480065069947. The next prime is 4480065070007. The reversal of 4480065070000 is 705600844.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4480065070007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8566089739 + ... + 8566090261.

Almost surely, 2^{4480065070000} is an apocalyptic number.

4480065070000 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 4480065070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908082108544).

4480065070000 is an abundant number, since it is smaller than the sum of its proper divisors (7336099147088).

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

4480065070000 is a wasteful number, since it uses less digits than its factorization.

4480065070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 4480065070000 in words is "four trillion, four hundred eighty billion, sixty-five million, seventy thousand".