4282146000 has 640 divisors, whose sum is σ = 17131046400. Its totient is φ = 1026432000.

The previous prime is 4282145993. The next prime is 4282146019. The reversal of 4282146000 is 6412824.

4282146000 is a `hidden beast` number, since 42 + 8 + 2 + 14 + 600 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48113956 + ... + 48114044.

It is an arithmetic number, because the mean of its divisors is an integer number (26767260).

Almost surely, 2^4282146000 is an apocalyptic number.

4282146000 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 4282146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565523200).

4282146000 is an abundant number, since it is smaller than the sum of its proper divisors (12848900400).

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

4282146000 is an equidigital number, since it uses as much as digits as its factorization.

4282146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4282146000 is about 65438.1081633630. The cubic root of 4282146000 is about 1623.8795905938.

Adding to 4282146000 its reverse (6412824), we get a palindrome (4288558824).

The spelling of 4282146000 in words is "four billion, two hundred eighty-two million, one hundred forty-six thousand".