4256098560 has 576 divisors, whose sum is σ = 17569896960. Its totient is φ = 955514880.

The previous prime is 4256098559. The next prime is 4256098571. The reversal of 4256098560 is 658906524.

4256098560 is a `hidden beast` number, since 4 + 2 + 560 + 9 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4256098560² = 36228749904868147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 17660040 + ... + 17660280.

Almost surely, 2^4256098560 is an apocalyptic number.

4256098560 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 4256098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784948480).

4256098560 is an abundant number, since it is smaller than the sum of its proper divisors (13313798400).

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

4256098560 is a wasteful number, since it uses less digits than its factorization.

4256098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4256098560 is about 65238.7811044934. The cubic root of 4256098560 is about 1620.5803133584.

The spelling of 4256098560 in words is "four billion, two hundred fifty-six million, ninety-eight thousand, five hundred sixty".