6141297000 has 256 divisors, whose sum is σ = 20023361280. Its totient is φ = 1565568000.

The previous prime is 6141296951. The next prime is 6141297013. The reversal of 6141297000 is 7921416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6770547 + ... + 6771453.

It is an arithmetic number, because the mean of its divisors is an integer number (78216255).

Almost surely, 2^6141297000 is an apocalyptic number.

6141297000 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 6141297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011680640).

6141297000 is an abundant number, since it is smaller than the sum of its proper divisors (13882064280).

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

6141297000 is a wasteful number, since it uses less digits than its factorization.

6141297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 6141297000 is about 78366.4277608722. The cubic root of 6141297000 is about 1831.2741581844.

The spelling of 6141297000 in words is "six billion, one hundred forty-one million, two hundred ninety-seven thousand".