4255755840 has 504 divisors, whose sum is σ = 17379680760. Its totient is φ = 952713216.

The previous prime is 4255755827. The next prime is 4255755851. The reversal of 4255755840 is 485575524.

4255755840 is a `hidden beast` number, since 4 + 2 + 5 + 57 + 558 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265559616 + 3990196224 = 16296^2 + 63168^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4255755840² = 36222915539388211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7479076 + ... + 7479644.

Almost surely, 2^4255755840 is an apocalyptic number.

4255755840 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 4255755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689840380).

4255755840 is an abundant number, since it is smaller than the sum of its proper divisors (13123924920).

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

4255755840 is a wasteful number, since it uses less digits than its factorization.

4255755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The square root of 4255755840 is about 65236.1543930971. The cubic root of 4255755840 is about 1620.5368134108.

The spelling of 4255755840 in words is "four billion, two hundred fifty-five million, seven hundred fifty-five thousand, eight hundred forty".