6041129472 has 320 divisors, whose sum is σ = 20615823360. Its totient is φ = 1710968832.

The previous prime is 6041129441. The next prime is 6041129473. The reversal of 6041129472 is 2749211406.

It is a happy number.

6041129472 is a `hidden beast` number, since 60 + 4 + 1 + 129 + 472 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (6041129473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15772993 + ... + 15773375.

It is an arithmetic number, because the mean of its divisors is an integer number (64424448).

Almost surely, 2^6041129472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6041129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307911680).

6041129472 is an abundant number, since it is smaller than the sum of its proper divisors (14574693888).

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

6041129472 is a wasteful number, since it uses less digits than its factorization.

6041129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6041129472 is about 77724.7031001084. The cubic root of 6041129472 is about 1821.2632086989.

The spelling of 6041129472 in words is "six billion, forty-one million, one hundred twenty-nine thousand, four hundred seventy-two".