6141199200 has 288 divisors, whose sum is σ = 20788669440. Its totient is φ = 1573017600.

The previous prime is 6141199189. The next prime is 6141199219. The reversal of 6141199200 is 29911416.

It is a super-2 number, since 2×6141199200² = 75428655228161280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14656591 + ... + 14657009.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 2^6141199200 is an apocalyptic number.

6141199200 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 6141199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394334720).

6141199200 is an abundant number, since it is smaller than the sum of its proper divisors (14647470240).

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

6141199200 is a wasteful number, since it uses less digits than its factorization.

6141199200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 6141199200 is about 78365.8037666941. The cubic root of 6141199200 is about 1831.2644371345.

The spelling of 6141199200 in words is "six billion, one hundred forty-one million, one hundred ninety-nine thousand, two hundred".