4291123624200 has 768 divisors, whose sum is σ = 18024893952000. Its totient is φ = 916465674240.

The previous prime is 4291123624171. The next prime is 4291123624213. The reversal of 4291123624200 is 24263211924.

It is a happy number.

4291123624200 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 1 + 2 + 3 + 624 + 20 + 0 = 666.

4291123624200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52387677 + ... + 52469523.

It is an arithmetic number, because the mean of its divisors is an integer number (23469914000).

Almost surely, 2^{4291123624200} is an apocalyptic number.

4291123624200 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 4291123624200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012446976000).

4291123624200 is an abundant number, since it is smaller than the sum of its proper divisors (13733770327800).

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

4291123624200 is a wasteful number, since it uses less digits than its factorization.

4291123624200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81971 (or 81956 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4291123624200 in words is "four trillion, two hundred ninety-one billion, one hundred twenty-three million, six hundred twenty-four thousand, two hundred".