4142603790 has 192 divisors, whose sum is σ = 12112632000. Its totient is φ = 1001493504.

The previous prime is 4142603783. The next prime is 4142603827. The reversal of 4142603790 is 973062414.

4142603790 is a `hidden beast` number, since 4 + 1 + 42 + 603 + 7 + 9 + 0 = 666.

It is a super-2 number, since 2×4142603790² = 34322332321844728200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 27802636 + ... + 27802784.

It is an arithmetic number, because the mean of its divisors is an integer number (63086625).

Almost surely, 2^4142603790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142603790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056316000).

4142603790 is an abundant number, since it is smaller than the sum of its proper divisors (7970028210).

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

4142603790 is a wasteful number, since it uses less digits than its factorization.

4142603790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4142603790 is about 64363.0623106142. The cubic root of 4142603790 is about 1606.0453317829.

The spelling of 4142603790 in words is "four billion, one hundred forty-two million, six hundred three thousand, seven hundred ninety".