6141154320 has 560 divisors, whose sum is σ = 25046313600. Its totient is φ = 1399120128.

The previous prime is 6141154319. The next prime is 6141154363. The reversal of 6141154320 is 234511416.

It is a happy number.

6141154320 is a `hidden beast` number, since 61 + 41 + 1 + 543 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20003607 + ... + 20003913.

It is an arithmetic number, because the mean of its divisors is an integer number (44725560).

Almost surely, 2^6141154320 is an apocalyptic number.

6141154320 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 6141154320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523156800).

6141154320 is an abundant number, since it is smaller than the sum of its proper divisors (18905159280).

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

6141154320 is an equidigital number, since it uses as much as digits as its factorization.

6141154320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6141154320 is about 78365.5174167822. The cubic root of 6141154320 is about 1831.2599761519.

Adding to 6141154320 its reverse (234511416), we get a palindrome (6375665736).

It can be divided in two parts, 6141 and 154320, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 6141154320 in words is "six billion, one hundred forty-one million, one hundred fifty-four thousand, three hundred twenty".