200407761340320 has 384 divisors, whose sum is σ = 668275267645440. Its totient is φ = 50378472488960.

The previous prime is 200407761340313. The next prime is 200407761340321. The reversal of 200407761340320 is 23043167704002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200407761340321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021473792 + ... + 2021572928.

It is an arithmetic number, because the mean of its divisors is an integer number (1740300176160).

Almost surely, 2^{200407761340320} is an apocalyptic number.

200407761340320 is a gapful number since it is divisible by the number (20) 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 200407761340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334137633822720).

200407761340320 is an abundant number, since it is smaller than the sum of its proper divisors (467867506305120).

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

200407761340320 is a wasteful number, since it uses less digits than its factorization.

200407761340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101828 (or 101820 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 200407761340320 in words is "two hundred trillion, four hundred seven billion, seven hundred sixty-one million, three hundred forty thousand, three hundred twenty".