4286661120 has 360 divisors, whose sum is σ = 17274283884. Its totient is φ = 979550208.

The previous prime is 4286661109. The next prime is 4286661131. The reversal of 4286661120 is 211666824.

It is an interprime number because it is at equal distance from previous prime (4286661109) and next prime (4286661131).

It can be written as a sum of positive squares in 2 ways, for example, as 3617300736 + 669360384 = 60144^2 + 25872^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1127062 + ... + 1130858.

Almost surely, 2^4286661120 is an apocalyptic number.

4286661120 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 4286661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637141942).

4286661120 is an abundant number, since it is smaller than the sum of its proper divisors (12987622764).

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

4286661120 is a wasteful number, since it uses less digits than its factorization.

4286661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4286661120 is about 65472.5982377361. The cubic root of 4286661120 is about 1624.4501328525.

The spelling of 4286661120 in words is "four billion, two hundred eighty-six million, six hundred sixty-one thousand, one hundred twenty".