4242412862100 has 576 divisors, whose sum is σ = 15973482631680. Its totient is φ = 945860198400.

The previous prime is 4242412862099. The next prime is 4242412862113. The reversal of 4242412862100 is 12682142424.

4242412862100 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 4 + 1 + 28 + 621 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173281860 + ... + 173306340.

It is an arithmetic number, because the mean of its divisors is an integer number (27731740680).

Almost surely, 2^{4242412862100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242412862100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986741315840).

4242412862100 is an abundant number, since it is smaller than the sum of its proper divisors (11731069769580).

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

4242412862100 is a wasteful number, since it uses less digits than its factorization.

4242412862100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737 (or 24724 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4242412862100 in words is "four trillion, two hundred forty-two billion, four hundred twelve million, eight hundred sixty-two thousand, one hundred".