4053305088 has 432 divisors, whose sum is σ = 14285107200. Its totient is φ = 1102768128.

The previous prime is 4053305077. The next prime is 4053305101. The reversal of 4053305088 is 8805033504.

4053305088 is a `hidden beast` number, since 40 + 533 + 0 + 5 + 0 + 88 = 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 47 ways as a sum of consecutive naturals, for example, 18176145 + ... + 18176367.

Almost surely, 2^4053305088 is an apocalyptic number.

4053305088 is a gapful number since it is divisible by the number (48) 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 4053305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142553600).

4053305088 is an abundant number, since it is smaller than the sum of its proper divisors (10231802112).

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

4053305088 is a wasteful number, since it uses less digits than its factorization.

4053305088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4053305088 is about 63665.5722349214. The cubic root of 4053305088 is about 1594.4213383569.

The spelling of 4053305088 in words is "four billion, fifty-three million, three hundred five thousand, eighty-eight".