6350041200 has 120 divisors (see below), whose sum is σ = 20628072576. Its totient is φ = 1669472000.

The previous prime is 6350041193. The next prime is 6350041241. The reversal of 6350041200 is 21400536.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 47935 + ... + 122465.

Almost surely, 2^6350041200 is an apocalyptic number.

6350041200 is a gapful number since it is divisible by the number (60) 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 6350041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314036288).

6350041200 is an abundant number, since it is smaller than the sum of its proper divisors (14278031376).

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

6350041200 is a wasteful number, since it uses less digits than its factorization.

6350041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74623 (or 74612 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6350041200 is about 79687.1457639185. The cubic root of 6350041200 is about 1851.7919039340.

Adding to 6350041200 its reverse (21400536), we get a palindrome (6371441736).

The spelling of 6350041200 in words is "six billion, three hundred fifty million, forty-one thousand, two hundred".