4470271618000 has 160 divisors (see below), whose sum is σ = 11451096502560. Its totient is φ = 1682021580800.

The previous prime is 4470271617991. The next prime is 4470271618009. The reversal of 4470271618000 is 8161720744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4470271617991) and next prime (4470271618009).

It can be written as a sum of positive squares in 16 ways, for example, as 1339537723456 + 3130733894544 = 1157384^2 + 1769388^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4470271618009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65007636 + ... + 65076364.

It is an arithmetic number, because the mean of its divisors is an integer number (71569353141).

Almost surely, 2^{4470271618000} is an apocalyptic number.

4470271618000 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 4470271618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725548251280).

4470271618000 is an abundant number, since it is smaller than the sum of its proper divisors (6980824884560).

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

4470271618000 is a wasteful number, since it uses less digits than its factorization.

4470271618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70682 (or 70666 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 4470271618000 in words is "four trillion, four hundred seventy billion, two hundred seventy-one million, six hundred eighteen thousand".