4098636288 has 280 divisors, whose sum is σ = 12523156800. Its totient is φ = 1339213824.

The previous prime is 4098636259. The next prime is 4098636313. The reversal of 4098636288 is 8826368904.

4098636288 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 6 + 3 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29486523 + ... + 29486661.

It is an arithmetic number, because the mean of its divisors is an integer number (44725560).

Almost surely, 2^4098636288 is an apocalyptic number.

4098636288 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 4098636288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261578400).

4098636288 is an abundant number, since it is smaller than the sum of its proper divisors (8424520512).

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

4098636288 is an frugal number, since it uses more digits than its factorization.

4098636288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4098636288 is about 64020.5926870409. The cubic root of 4098636288 is about 1600.3431930480.

The spelling of 4098636288 in words is "four billion, ninety-eight million, six hundred thirty-six thousand, two hundred eighty-eight".