4206882240 has 504 divisors, whose sum is σ = 16390784592. Its totient is φ = 982056960.

The previous prime is 4206882209. The next prime is 4206882257. The reversal of 4206882240 is 422886024.

It is a happy number.

4206882240 is a `hidden beast` number, since 420 + 6 + 8 + 8 + 224 + 0 = 666.

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 = 4206882195 and 4206882204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43369872 + ... + 43369968.

It is an arithmetic number, because the mean of its divisors is an integer number (32521398).

Almost surely, 2^4206882240 is an apocalyptic number.

4206882240 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 4206882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195392296).

4206882240 is an abundant number, since it is smaller than the sum of its proper divisors (12183902352).

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

4206882240 is a wasteful number, since it uses less digits than its factorization.

4206882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4206882240 is about 64860.4828844189. The cubic root of 4206882240 is about 1614.3094351966.

It can be divided in two parts, 4206 and 882240, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 4206882240 in words is "four billion, two hundred six million, eight hundred eighty-two thousand, two hundred forty".