4183318228320 has 576 divisors, whose sum is σ = 18392787141120. Its totient is φ = 869260170240.

The previous prime is 4183318228319. The next prime is 4183318228367. The reversal of 4183318228320 is 238228133814.

4183318228320 is a `hidden beast` number, since 4 + 1 + 8 + 3 + 318 + 2 + 2 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3087399 + ... + 4230681.

It is an arithmetic number, because the mean of its divisors is an integer number (31931922120).

Almost surely, 2^{4183318228320} is an apocalyptic number.

4183318228320 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 4183318228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196393570560).

4183318228320 is an abundant number, since it is smaller than the sum of its proper divisors (14209468912800).

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

4183318228320 is a wasteful number, since it uses less digits than its factorization.

4183318228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143336 (or 1143311 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4183318228320 in words is "four trillion, one hundred eighty-three billion, three hundred eighteen million, two hundred twenty-eight thousand, three hundred twenty".