4198496256 has 144 divisors (see below), whose sum is σ = 12840282000. Its totient is φ = 1317076992.

The previous prime is 4198496213. The next prime is 4198496279. The reversal of 4198496256 is 6526948914.

4198496256 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 4 + 9 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306645 + ... + 320043.

It is an arithmetic number, because the mean of its divisors is an integer number (89168625).

Almost surely, 2^4198496256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198496256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420141000).

4198496256 is an abundant number, since it is smaller than the sum of its proper divisors (8641785744).

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

4198496256 is a wasteful number, since it uses less digits than its factorization.

4198496256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13444 (or 13421 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 4198496256 is about 64795.8043086125. The cubic root of 4198496256 is about 1613.2360687820.

The spelling of 4198496256 in words is "four billion, one hundred ninety-eight million, four hundred ninety-six thousand, two hundred fifty-six".