4612142304 has 288 divisors, whose sum is σ = 16882145280. Its totient is φ = 1159142400.

The previous prime is 4612142291. The next prime is 4612142317. The reversal of 4612142304 is 4032412164.

It is a happy number.

4612142304 is a `hidden beast` number, since 4 + 612 + 1 + 42 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4612142291) and next prime (4612142317).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684102 + ... + 690810.

It is an arithmetic number, because the mean of its divisors is an integer number (58618560).

Almost surely, 2^4612142304 is an apocalyptic number.

4612142304 is a gapful number since it is divisible by the number (44) 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 4612142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441072640).

4612142304 is an abundant number, since it is smaller than the sum of its proper divisors (12270002976).

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

4612142304 is a wasteful number, since it uses less digits than its factorization.

4612142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4612142304 is about 67912.7550906308. The cubic root of 4612142304 is about 1664.5655398639.

Adding to 4612142304 its reverse (4032412164), we get a palindrome (8644554468).

The spelling of 4612142304 in words is "four billion, six hundred twelve million, one hundred forty-two thousand, three hundred four".