4318207225920 has 1120 divisors, whose sum is σ = 18967647916800. Its totient is φ = 928926351360.

The previous prime is 4318207225909. The next prime is 4318207225949. The reversal of 4318207225920 is 295227028134.

4318207225920 is a `hidden beast` number, since 4 + 3 + 18 + 20 + 7 + 22 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 151125235 + ... + 151153805.

Almost surely, 2^{4318207225920} is an apocalyptic number.

4318207225920 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 4318207225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483823958400).

4318207225920 is an abundant number, since it is smaller than the sum of its proper divisors (14649440690880).

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

4318207225920 is a wasteful number, since it uses less digits than its factorization.

4318207225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28638 (or 28605 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4318207225920 in words is "four trillion, three hundred eighteen billion, two hundred seven million, two hundred twenty-five thousand, nine hundred twenty".