4255623814200 has 384 divisors, whose sum is σ = 15248720448000. Its totient is φ = 970317414400.

The previous prime is 4255623814129. The next prime is 4255623814241. The reversal of 4255623814200 is 24183265524.

It is a super-2 number, since 2×4255623814200² (a number of 26 digits) contains 22 as substring.

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, 174907636 + ... + 174931964.

It is an arithmetic number, because the mean of its divisors is an integer number (39710209500).

Almost surely, 2^{4255623814200} is an apocalyptic number.

4255623814200 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 4255623814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624360224000).

4255623814200 is an abundant number, since it is smaller than the sum of its proper divisors (10993096633800).

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

4255623814200 is a wasteful number, since it uses less digits than its factorization.

4255623814200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25935 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 4255623814200 in words is "four trillion, two hundred fifty-five billion, six hundred twenty-three million, eight hundred fourteen thousand, two hundred".