6141214080 has 384 divisors, whose sum is σ = 22129136640. Its totient is φ = 1567641600.

The previous prime is 6141213973. The next prime is 6141214081. The reversal of 6141214080 is 804121416.

It is a happy number.

6141214080 is a `hidden beast` number, since 614 + 1 + 2 + 1 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141214081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29105175 + ... + 29105385.

It is an arithmetic number, because the mean of its divisors is an integer number (57627960).

Almost surely, 2^6141214080 is an apocalyptic number.

6141214080 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 6141214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064568320).

6141214080 is an abundant number, since it is smaller than the sum of its proper divisors (15987922560).

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

6141214080 is a wasteful number, since it uses less digits than its factorization.

6141214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6141214080 is about 78365.8987060060. The cubic root of 6141214080 is about 1831.2659161721.

Adding to 6141214080 its reverse (804121416), we get a palindrome (6945335496).

The spelling of 6141214080 in words is "six billion, one hundred forty-one million, two hundred fourteen thousand, eighty".