4281255600 has 120 divisors (see below), whose sum is σ = 13813490880. Its totient is φ = 1133410560.

The previous prime is 4281255599. The next prime is 4281255613. The reversal of 4281255600 is 65521824.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153967 + ... + 179633.

It is an arithmetic number, because the mean of its divisors is an integer number (115112424).

Almost surely, 2^4281255600 is an apocalyptic number.

4281255600 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 4281255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906745440).

4281255600 is an abundant number, since it is smaller than the sum of its proper divisors (9532235280).

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

4281255600 is a wasteful number, since it uses less digits than its factorization.

4281255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25827 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 4281255600 is about 65431.3044344983. The cubic root of 4281255600 is about 1623.7670300057.

The spelling of 4281255600 in words is "four billion, two hundred eighty-one million, two hundred fifty-five thousand, six hundred".