4142974176 has 288 divisors, whose sum is σ = 13867580160. Its totient is φ = 1200165120.

The previous prime is 4142974163. The next prime is 4142974177. The reversal of 4142974176 is 6714792414.

4142974176 is a `hidden beast` number, since 4 + 142 + 97 + 417 + 6 = 666.

4142974176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×4142974176³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142974177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2403651 + ... + 2405373.

It is an arithmetic number, because the mean of its divisors is an integer number (48151320).

Almost surely, 2^4142974176 is an apocalyptic number.

4142974176 is a gapful number since it is divisible by the number (46) 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 4142974176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933790080).

4142974176 is an abundant number, since it is smaller than the sum of its proper divisors (9724605984).

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

4142974176 is a wasteful number, since it uses less digits than its factorization.

4142974176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1762 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4142974176 is about 64365.9395643379. The cubic root of 4142974176 is about 1606.0931953174.

The spelling of 4142974176 in words is "four billion, one hundred forty-two million, nine hundred seventy-four thousand, one hundred seventy-six".