4120255185408 has 280 divisors, whose sum is σ = 12391363992348. Its totient is φ = 1368042504192.

The previous prime is 4120255185407. The next prime is 4120255185427. The reversal of 4120255185408 is 8045815520214.

4120255185408 is a `hidden beast` number, since 4 + 12 + 0 + 2 + 55 + 185 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4106750886144 + 13504299264 = 2026512^2 + 116208^2 .

It is a super-2 number, since 2×4120255185408² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4120255185407) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95903260 + ... + 95946212.

Almost surely, 2^{4120255185408} is an apocalyptic number.

4120255185408 is a gapful number since it is divisible by the number (48) 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 4120255185408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195681996174).

4120255185408 is an abundant number, since it is smaller than the sum of its proper divisors (8271108806940).

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

4120255185408 is an frugal number, since it uses more digits than its factorization.

4120255185408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43246 (or 43215 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 4120255185408 in words is "four trillion, one hundred twenty billion, two hundred fifty-five million, one hundred eighty-five thousand, four hundred eight".