200342407104 has 448 divisors, whose sum is σ = 710062080000. Its totient is φ = 54111255552.

The previous prime is 200342407079. The next prime is 200342407157. The reversal of 200342407104 is 401704243002.

200342407104 is a `hidden beast` number, since 200 + 3 + 42 + 407 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192821817 + ... + 192822855.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960000).

Almost surely, 2^200342407104 is an apocalyptic number.

200342407104 is a gapful number since it is divisible by the number (24) 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 200342407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355031040000).

200342407104 is an abundant number, since it is smaller than the sum of its proper divisors (509719672896).

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

200342407104 is a wasteful number, since it uses less digits than its factorization.

200342407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 200342407104 in words is "two hundred billion, three hundred forty-two million, four hundred seven thousand, one hundred four".