200124440334 has 144 divisors (see below), whose sum is σ = 568162981152. Its totient is φ = 49675272192.

The previous prime is 200124440311. The next prime is 200124440363. The reversal of 200124440334 is 433044421002.

It is a happy number.

200124440334 is a `hidden beast` number, since 200 + 1 + 24 + 4 + 403 + 34 = 666.

200124440334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200124440298 and 200124440307.

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 71 ways as a sum of consecutive naturals, for example, 85582 + ... + 638414.

It is an arithmetic number, because the mean of its divisors is an integer number (3945576258).

Almost surely, 2^200124440334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200124440334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284081490576).

200124440334 is an abundant number, since it is smaller than the sum of its proper divisors (368038540818).

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

200124440334 is a wasteful number, since it uses less digits than its factorization.

200124440334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552891 (or 552875 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 200124440334 its reverse (433044421002), we get a palindrome (633168861336).

The spelling of 200124440334 in words is "two hundred billion, one hundred twenty-four million, four hundred forty thousand, three hundred thirty-four".