6141219240 has 128 divisors (see below), whose sum is σ = 19866591360. Its totient is φ = 1509725184.

The previous prime is 6141219229. The next prime is 6141219269. The reversal of 6141219240 is 429121416.

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

It is a junction number, because it is equal to n+sod(n) for n = 6141219198 and 6141219207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475242 + ... + 1479398.

It is an arithmetic number, because the mean of its divisors is an integer number (155207745).

Almost surely, 2^6141219240 is an apocalyptic number.

6141219240 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 6141219240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933295680).

6141219240 is an abundant number, since it is smaller than the sum of its proper divisors (13725372120).

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

6141219240 is a wasteful number, since it uses less digits than its factorization.

6141219240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6141219240 is about 78365.9316284825. The cubic root of 6141219240 is about 1831.2664290636.

The spelling of 6141219240 in words is "six billion, one hundred forty-one million, two hundred nineteen thousand, two hundred forty".