4162341600 has 288 divisors, whose sum is σ = 15179028480. Its totient is φ = 1100736000.

The previous prime is 4162341569. The next prime is 4162341611. The reversal of 4162341600 is 61432614.

4162341600 is a `hidden beast` number, since 4 + 16 + 2 + 3 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828865 + ... + 2830335.

It is an arithmetic number, because the mean of its divisors is an integer number (52704960).

Almost surely, 2^4162341600 is an apocalyptic number.

4162341600 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 4162341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589514240).

4162341600 is an abundant number, since it is smaller than the sum of its proper divisors (11016686880).

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

4162341600 is a wasteful number, since it uses less digits than its factorization.

4162341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4162341600 is about 64516.2119160758. The cubic root of 4162341600 is about 1608.5920074575.

The spelling of 4162341600 in words is "four billion, one hundred sixty-two million, three hundred forty-one thousand, six hundred".