4142124000 has 384 divisors, whose sum is σ = 17234380800. Its totient is φ = 946598400.

The previous prime is 4142123963. The next prime is 4142124011. The reversal of 4142124000 is 4212414.

4142124000 is a `hidden beast` number, since 4 + 1 + 421 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 753261 + ... + 758739.

It is an arithmetic number, because the mean of its divisors is an integer number (44881200).

Almost surely, 2^4142124000 is an apocalyptic number.

4142124000 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 4142124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617190400).

4142124000 is an abundant number, since it is smaller than the sum of its proper divisors (13092256800).

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

4142124000 is a wasteful number, since it uses less digits than its factorization.

4142124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4142124000 is about 64359.3349872417. The cubic root of 4142124000 is about 1605.9833261556.

Adding to 4142124000 its reverse (4212414), we get a palindrome (4146336414).

The spelling of 4142124000 in words is "four billion, one hundred forty-two million, one hundred twenty-four thousand".