384570682122240 has 5376 divisors, whose sum is σ = 1638768517102080. Its totient is φ = 85858745057280.

The previous prime is 384570682122169. The next prime is 384570682122313. The reversal of 384570682122240 is 42221286075483.

384570682122240 is a `hidden beast` number, since 3 + 8 + 4 + 570 + 6 + 8 + 2 + 1 + 2 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6304437411810 + ... + 6304437411870.

It is an arithmetic number, because the mean of its divisors is an integer number (304830453330).

Almost surely, 2^{384570682122240} is an apocalyptic number.

384570682122240 is a gapful number since it is divisible by the number (30) 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 384570682122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819384258551040).

384570682122240 is an abundant number, since it is smaller than the sum of its proper divisors (1254197834979840).

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

384570682122240 is a wasteful number, since it uses less digits than its factorization.

384570682122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 384570682122240 in words is "three hundred eighty-four trillion, five hundred seventy billion, six hundred eighty-two million, one hundred twenty-two thousand, two hundred forty".