4286359432720 has 320 divisors, whose sum is σ = 11861112268800. Its totient is φ = 1428419543040.

The previous prime is 4286359432717. The next prime is 4286359432721. The reversal of 4286359432720 is 272349536824.

It is not an unprimeable number, because it can be changed into a prime (4286359432721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23137902 + ... + 23322418.

It is an arithmetic number, because the mean of its divisors is an integer number (37065975840).

Almost surely, 2^{4286359432720} is an apocalyptic number.

4286359432720 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 4286359432720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930556134400).

4286359432720 is an abundant number, since it is smaller than the sum of its proper divisors (7574752836080).

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

4286359432720 is a wasteful number, since it uses less digits than its factorization.

4286359432720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184626 (or 184620 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 4286359432720 in words is "four trillion, two hundred eighty-six billion, three hundred fifty-nine million, four hundred thirty-two thousand, seven hundred twenty".