4206857557320 has 256 divisors, whose sum is σ = 15300447436800. Its totient is φ = 1019658689280.

The previous prime is 4206857557303. The next prime is 4206857557327. The reversal of 4206857557320 is 237557586024.

4206857557320 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 8 + 57 + 557 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4206857557327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72046777 + ... + 72105143.

It is an arithmetic number, because the mean of its divisors is an integer number (59767372800).

Almost surely, 2^{4206857557320} is an apocalyptic number.

4206857557320 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 4206857557320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650223718400).

4206857557320 is an abundant number, since it is smaller than the sum of its proper divisors (11093589879480).

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

4206857557320 is a wasteful number, since it uses less digits than its factorization.

4206857557320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64465 (or 64455 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 4206857557320 in words is "four trillion, two hundred six billion, eight hundred fifty-seven million, five hundred fifty-seven thousand, three hundred twenty".