4285232640 has 640 divisors, whose sum is σ = 17323891200. Its totient is φ = 995328000.

The previous prime is 4285232617. The next prime is 4285232681. The reversal of 4285232640 is 462325824.

4285232640 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 2 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 4285232595 and 4285232604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072515 + ... + 17072765.

It is an arithmetic number, because the mean of its divisors is an integer number (27068580).

Almost surely, 2^4285232640 is an apocalyptic number.

4285232640 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 4285232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661945600).

4285232640 is an abundant number, since it is smaller than the sum of its proper divisors (13038658560).

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

4285232640 is a wasteful number, since it uses less digits than its factorization.

4285232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4285232640 is about 65461.6883375307. The cubic root of 4285232640 is about 1624.2696697627.

The spelling of 4285232640 in words is "four billion, two hundred eighty-five million, two hundred thirty-two thousand, six hundred forty".