6141005200 has 480 divisors, whose sum is σ = 18681840000. Its totient is φ = 1909555200.

The previous prime is 6141005179. The next prime is 6141005209. The reversal of 6141005200 is 25001416.

6141005200 = 315³ + 316³ + ... + 430³.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (6141005209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41214726 + ... + 41214874.

It is an arithmetic number, because the mean of its divisors is an integer number (38920500).

Almost surely, 2^6141005200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340920000).

6141005200 is an abundant number, since it is smaller than the sum of its proper divisors (12540834800).

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

6141005200 is a wasteful number, since it uses less digits than its factorization.

6141005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 6141005200 is about 78364.5659721280. The cubic root of 6141005200 is about 1831.2451537649.

Adding to 6141005200 its reverse (25001416), we get a palindrome (6166006616).

The spelling of 6141005200 in words is "six billion, one hundred forty-one million, five thousand, two hundred".