4098511872 has 528 divisors, whose sum is σ = 15188281472. Its totient is φ = 1074954240.

The previous prime is 4098511853. The next prime is 4098511903. The reversal of 4098511872 is 2781158904.

4098511872 is a `hidden beast` number, since 40 + 98 + 511 + 8 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22643622 + ... + 22643802.

Almost surely, 2^4098511872 is an apocalyptic number.

4098511872 is a gapful number since it is divisible by the number (42) 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 4098511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594140736).

4098511872 is an abundant number, since it is smaller than the sum of its proper divisors (11089769600).

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

4098511872 is a wasteful number, since it uses less digits than its factorization.

4098511872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4098511872 is about 64019.6209923177. The cubic root of 4098511872 is about 1600.3269998316.

The spelling of 4098511872 in words is "four billion, ninety-eight million, five hundred eleven thousand, eight hundred seventy-two".