4162489344 has 352 divisors, whose sum is σ = 13677890240. Its totient is φ = 1242169344.

The previous prime is 4162489301. The next prime is 4162489349. The reversal of 4162489344 is 4439842614.

4162489344 is a `hidden beast` number, since 4 + 162 + 489 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4162489344.

It is not an unprimeable number, because it can be changed into a prime (4162489349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13298532 + ... + 13298844.

Almost surely, 2^4162489344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838945120).

4162489344 is an abundant number, since it is smaller than the sum of its proper divisors (9515400896).

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

4162489344 is a wasteful number, since it uses less digits than its factorization.

4162489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 368 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4162489344 is about 64517.3569204443. The cubic root of 4162489344 is about 1608.6110397738.

The spelling of 4162489344 in words is "four billion, one hundred sixty-two million, four hundred eighty-nine thousand, three hundred forty-four".