4202218440 has 672 divisors, whose sum is σ = 17561405880. Its totient is φ = 898781184.

The previous prime is 4202218439. The next prime is 4202218451. The reversal of 4202218440 is 448122024.

4202218440 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 218 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4178071044 + 24147396 = 64638^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24290194 + ... + 24290366.

Almost surely, 2^4202218440 is an apocalyptic number.

4202218440 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 4202218440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8780702940).

4202218440 is an abundant number, since it is smaller than the sum of its proper divisors (13359187440).

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

4202218440 is a wasteful number, since it uses less digits than its factorization.

4202218440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4202218440 is about 64824.5203607400. The cubic root of 4202218440 is about 1613.7126670274.

The spelling of 4202218440 in words is "four billion, two hundred two million, two hundred eighteen thousand, four hundred forty".