4056630336 has 336 divisors, whose sum is σ = 13739701248. Its totient is φ = 1174694400.

The previous prime is 4056630299. The next prime is 4056630337. The reversal of 4056630336 is 6330366504.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4056630336.

It is not an unprimeable number, because it can be changed into a prime (4056630337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934141 + ... + 3935171.

It is an arithmetic number, because the mean of its divisors is an integer number (40891968).

Almost surely, 2^4056630336 is an apocalyptic number.

4056630336 is a gapful number since it is divisible by the number (46) 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 4056630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869850624).

4056630336 is an abundant number, since it is smaller than the sum of its proper divisors (9683070912).

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

4056630336 is a wasteful number, since it uses less digits than its factorization.

4056630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 4056630336 is about 63691.6818430790. The cubic root of 4056630336 is about 1594.8572293207.

The spelling of 4056630336 in words is "four billion, fifty-six million, six hundred thirty thousand, three hundred thirty-six".