4282098800 has 120 divisors (see below), whose sum is σ = 12075480096. Its totient is φ = 1428433920.

The previous prime is 4282098797. The next prime is 4282098817. The reversal of 4282098800 is 88902824.

It is a super-2 number, since 2×4282098800² = 36672740265922880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82934 + ... + 124266.

Almost surely, 2^4282098800 is an apocalyptic number.

4282098800 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 4282098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037740048).

4282098800 is an abundant number, since it is smaller than the sum of its proper divisors (7793381296).

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

4282098800 is a wasteful number, since it uses less digits than its factorization.

4282098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41395 (or 41384 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 4282098800 is about 65437.7475162463. The cubic root of 4282098800 is about 1623.8736241618.

The spelling of 4282098800 in words is "four billion, two hundred eighty-two million, ninety-eight thousand, eight hundred".