4142002000 has 160 divisors (see below), whose sum is σ = 10373336064. Its totient is φ = 1598400000.

The previous prime is 4142001973. The next prime is 4142002031. The reversal of 4142002000 is 2002414.

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 31 ways as a sum of consecutive naturals, for example, 16501875 + ... + 16502125.

Almost surely, 2^4142002000 is an apocalyptic number.

4142002000 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 4142002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186668032).

4142002000 is an abundant number, since it is smaller than the sum of its proper divisors (6231334064).

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

4142002000 is a wasteful number, since it uses less digits than its factorization.

4142002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4142002000 is about 64358.3871768086. The cubic root of 4142002000 is about 1605.9675587305.

Adding to 4142002000 its reverse (2002414), we get a palindrome (4144004414).

The spelling of 4142002000 in words is "four billion, one hundred forty-two million, two thousand".