4200042410100 has 144 divisors (see below), whose sum is σ = 13503106995840. Its totient is φ = 1119949228800.

The previous prime is 4200042410059. The next prime is 4200042410149. The reversal of 4200042410100 is 10142400024.

4200042410100 is a `hidden beast` number, since 4 + 200 + 0 + 42 + 410 + 10 + 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 47 ways as a sum of consecutive naturals, for example, 69367840 + ... + 69428360.

It is an arithmetic number, because the mean of its divisors is an integer number (93771576360).

Almost surely, 2^{4200042410100} is an apocalyptic number.

It is an amenable number.

4200042410100 is an abundant number, since it is smaller than the sum of its proper divisors (9303064585740).

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

4200042410100 is a wasteful number, since it uses less digits than its factorization.

4200042410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86247 (or 86234 counting only the distinct ones).

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

Adding to 4200042410100 its reverse (10142400024), we get a palindrome (4210184810124).

The spelling of 4200042410100 in words is "four trillion, two hundred billion, forty-two million, four hundred ten thousand, one hundred".