4224313140480 has 360 divisors, whose sum is σ = 15129600022152. Its totient is φ = 1125422678016.

The previous prime is 4224313140473. The next prime is 4224313140521. The reversal of 4224313140480 is 840413134224.

4224313140480 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 3 + 131 + 40 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 321570653184 + 3902742487296 = 567072^2 + 1975536^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113303602 + ... + 113340878.

Almost surely, 2^{4224313140480} is an apocalyptic number.

4224313140480 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 4224313140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7564800011076).

4224313140480 is an abundant number, since it is smaller than the sum of its proper divisors (10905286881672).

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

4224313140480 is a wasteful number, since it uses less digits than its factorization.

4224313140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38403 (or 38380 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4224313140480 in words is "four trillion, two hundred twenty-four billion, three hundred thirteen million, one hundred forty thousand, four hundred eighty".