4056255360 has 512 divisors, whose sum is σ = 15122764800. Its totient is φ = 1026514944.

The previous prime is 4056255353. The next prime is 4056255361. The reversal of 4056255360 is 635526504.

It is a happy number.

4056255360 is a `hidden beast` number, since 40 + 5 + 6 + 2 + 553 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056255361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39381069 + ... + 39381171.

It is an arithmetic number, because the mean of its divisors is an integer number (29536650).

Almost surely, 2^4056255360 is an apocalyptic number.

4056255360 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 4056255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561382400).

4056255360 is an abundant number, since it is smaller than the sum of its proper divisors (11066509440).

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

4056255360 is a wasteful number, since it uses less digits than its factorization.

4056255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 4056255360 is about 63688.7380939519. The cubic root of 4056255360 is about 1594.8080874170.

The spelling of 4056255360 in words is "four billion, fifty-six million, two hundred fifty-five thousand, three hundred sixty".