4842210240 has 672 divisors, whose sum is σ = 20722498560. Its totient is φ = 1040726016.

The previous prime is 4842210229. The next prime is 4842210251. The reversal of 4842210240 is 420122484.

It is an interprime number because it is at equal distance from previous prime (4842210229) and next prime (4842210251).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82071331 + ... + 82071389.

Almost surely, 2^4842210240 is an apocalyptic number.

4842210240 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 4842210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361249280).

4842210240 is an abundant number, since it is smaller than the sum of its proper divisors (15880288320).

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

4842210240 is a wasteful number, since it uses less digits than its factorization.

4842210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 99 counting only the distinct ones).

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

The square root of 4842210240 is about 69585.9916937310. The cubic root of 4842210240 is about 1691.7955590220.

The spelling of 4842210240 in words is "four billion, eight hundred forty-two million, two hundred ten thousand, two hundred forty".