4285426560 has 128 divisors (see below), whose sum is σ = 13785789600. Its totient is φ = 1132240896.

The previous prime is 4285426553. The next prime is 4285426567. The reversal of 4285426560 is 656245824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4285426553) and next prime (4285426567).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285426567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 199042 + ... + 219518.

Almost surely, 2^4285426560 is an apocalyptic number.

4285426560 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 4285426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892894800).

4285426560 is an abundant number, since it is smaller than the sum of its proper divisors (9500363040).

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

4285426560 is a wasteful number, since it uses less digits than its factorization.

4285426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20608 (or 20596 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 4285426560 is about 65463.1694924711. The cubic root of 4285426560 is about 1624.2941704646.

The spelling of 4285426560 in words is "four billion, two hundred eighty-five million, four hundred twenty-six thousand, five hundred sixty".