6141006000 has 240 divisors, whose sum is σ = 21537067968. Its totient is φ = 1630848000.

The previous prime is 6141005993. The next prime is 6141006019. The reversal of 6141006000 is 6001416.

6141006000 is a `hidden beast` number, since 61 + 4 + 1 + 0 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 5597452 + ... + 5598548.

Almost surely, 2^6141006000 is an apocalyptic number.

6141006000 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 6141006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768533984).

6141006000 is an abundant number, since it is smaller than the sum of its proper divisors (15396061968).

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

6141006000 is a wasteful number, since it uses less digits than its factorization.

6141006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6141006000 is about 78364.5710764756. The cubic root of 6141006000 is about 1831.2452332848.

Adding to 6141006000 its reverse (6001416), we get a palindrome (6147007416).

The spelling of 6141006000 in words is "six billion, one hundred forty-one million, six thousand".