4142174400 has 1008 divisors, whose sum is σ = 18916497600. Its totient is φ = 836075520.

The previous prime is 4142174369. The next prime is 4142174417. The reversal of 4142174400 is 44712414.

4142174400 is a `hidden beast` number, since 4 + 1 + 4 + 217 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38001546 + ... + 38001654.

Almost surely, 2^4142174400 is an apocalyptic number.

4142174400 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 4142174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9458248800).

4142174400 is an abundant number, since it is smaller than the sum of its proper divisors (14774323200).

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

4142174400 is a wasteful number, since it uses less digits than its factorization.

4142174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4142174400 is about 64359.7265376415. The cubic root of 4142174400 is about 1605.9898398211.

Adding to 4142174400 its reverse (44712414), we get a palindrome (4186886814).

The spelling of 4142174400 in words is "four billion, one hundred forty-two million, one hundred seventy-four thousand, four hundred".