4063288320 has 1408 divisors, whose sum is σ = 19808409600. Its totient is φ = 764411904.

The previous prime is 4063288297. The next prime is 4063288357. The reversal of 4063288320 is 238823604.

4063288320 is a `hidden beast` number, since 4 + 0 + 6 + 328 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213857271 + ... + 213857289.

Almost surely, 2^4063288320 is an apocalyptic number.

4063288320 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 4063288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904204800).

4063288320 is an abundant number, since it is smaller than the sum of its proper divisors (15745121280).

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

4063288320 is a wasteful number, since it uses less digits than its factorization.

4063288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4063288320 is about 63743.9277108024. The cubic root of 4063288320 is about 1595.7292773894.

The spelling of 4063288320 in words is "four billion, sixty-three million, two hundred eighty-eight thousand, three hundred twenty".