4255828018200 has 576 divisors, whose sum is σ = 16523568004320. Its totient is φ = 970168320000.

The previous prime is 4255828018177. The next prime is 4255828018231. The reversal of 4255828018200 is 28108285524.

4255828018200 is a `hidden beast` number, since 4 + 2 + 558 + 2 + 80 + 18 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×4255828018200² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 429833250 + ... + 429843150.

Almost surely, 2^{4255828018200} is an apocalyptic number.

4255828018200 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 4255828018200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261784002160).

4255828018200 is an abundant number, since it is smaller than the sum of its proper divisors (12267739986120).

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

4255828018200 is a wasteful number, since it uses less digits than its factorization.

4255828018200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11228 (or 11216 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 4255828018200 in words is "four trillion, two hundred fifty-five billion, eight hundred twenty-eight million, eighteen thousand, two hundred".