200614410000 has 225 divisors, whose sum is σ = 702047795449. Its totient is φ = 53461344000.

The previous prime is 200614409977. The next prime is 200614410013. The reversal of 200614410000 is 14416002.

The square root of 200614410000 is 447900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 73113996816 + 127500413184 = 270396^2 + 357072^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×200614410000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 134369254 + ... + 134370746.

Almost surely, 2^200614410000 is an apocalyptic number.

200614410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200614410000 is the 447900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200614410000

200614410000 is an abundant number, since it is smaller than the sum of its proper divisors (501433385449).

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

200614410000 is an frugal number, since it uses more digits than its factorization.

200614410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200614410000 its reverse (14416002), we get a palindrome (200628826002).

The spelling of 200614410000 in words is "two hundred billion, six hundred fourteen million, four hundred ten thousand".