200120643840 has 576 divisors, whose sum is σ = 718980433920. Its totient is φ = 47103344640.

The previous prime is 200120643817. The next prime is 200120643841. The reversal of 200120643840 is 48346021002.

It is a super-2 number, since 2×200120643840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200120643798 and 200120643807.

It is not an unprimeable number, because it can be changed into a prime (200120643841) 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, 137728554 + ... + 137730006.

It is an arithmetic number, because the mean of its divisors is an integer number (1248229920).

Almost surely, 2^200120643840 is an apocalyptic number.

200120643840 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 200120643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359490216960).

200120643840 is an abundant number, since it is smaller than the sum of its proper divisors (518859790080).

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

200120643840 is a wasteful number, since it uses less digits than its factorization.

200120643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 200120643840 its reverse (48346021002), we get a palindrome (248466664842).

The spelling of 200120643840 in words is "two hundred billion, one hundred twenty million, six hundred forty-three thousand, eight hundred forty".