8141011200 has 648 divisors, whose sum is σ = 33911398976. Its totient is φ = 1824768000.

The previous prime is 8141011147. The next prime is 8141011213. The reversal of 8141011200 is 21101418.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24595035 + ... + 24595365.

Almost surely, 2^8141011200 is an apocalyptic number.

8141011200 is a gapful number since it is divisible by the number (80) 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 8141011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955699488).

8141011200 is an abundant number, since it is smaller than the sum of its proper divisors (25770387776).

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

8141011200 is a wasteful number, since it uses less digits than its factorization.

8141011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8141011200 is about 90227.5523329764. The cubic root of 8141011200 is about 2011.6825593649.

Adding to 8141011200 its reverse (21101418), we get a palindrome (8162112618).

The spelling of 8141011200 in words is "eight billion, one hundred forty-one million, eleven thousand, two hundred".