4030664256 has 336 divisors, whose sum is σ = 12933273600. Its totient is φ = 1194310656.

The previous prime is 4030664221. The next prime is 4030664273. The reversal of 4030664256 is 6524660304.

4030664256 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 6 + 642 + 5 + 6 = 666.

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 4030664256.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16864585 + ... + 16864823.

Almost surely, 2^4030664256 is an apocalyptic number.

4030664256 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 4030664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466636800).

4030664256 is an abundant number, since it is smaller than the sum of its proper divisors (8902609344).

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

4030664256 is a wasteful number, since it uses less digits than its factorization.

4030664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4030664256 is about 63487.5125989355. The cubic root of 4030664256 is about 1591.4471031047.

The spelling of 4030664256 in words is "four billion, thirty million, six hundred sixty-four thousand, two hundred fifty-six".