4153509888 has 288 divisors, whose sum is σ = 12583247040. Its totient is φ = 1216512000.

The previous prime is 4153509881. The next prime is 4153509923. The reversal of 4153509888 is 8889053514.

It is a self number, because there is not a number n which added to its sum of digits gives 4153509888.

It is not an unprimeable number, because it can be changed into a prime (4153509881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27506613 + ... + 27506763.

It is an arithmetic number, because the mean of its divisors is an integer number (43691830).

Almost surely, 2^4153509888 is an apocalyptic number.

4153509888 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 4153509888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291623520).

4153509888 is an abundant number, since it is smaller than the sum of its proper divisors (8429737152).

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

4153509888 is a wasteful number, since it uses less digits than its factorization.

4153509888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The square root of 4153509888 is about 64447.7298901986. The cubic root of 4153509888 is about 1607.4534911690.

The spelling of 4153509888 in words is "four billion, one hundred fifty-three million, five hundred nine thousand, eight hundred eighty-eight".