5141768940 has 576 divisors, whose sum is σ = 20316441600. Its totient is φ = 1043159040.

The previous prime is 5141768921. The next prime is 5141768941. The reversal of 5141768940 is 498671415.

5141768940 is a `hidden beast` number, since 514 + 17 + 6 + 89 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5141768941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45502324 + ... + 45502436.

It is an arithmetic number, because the mean of its divisors is an integer number (35271600).

Almost surely, 2^5141768940 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 5141768940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158220800).

5141768940 is an abundant number, since it is smaller than the sum of its proper divisors (15174672660).

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

5141768940 is a wasteful number, since it uses less digits than its factorization.

5141768940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5141768940 is about 71706.1290267436. The cubic root of 5141768940 is about 1725.9869940796.

The spelling of 5141768940 in words is "five billion, one hundred forty-one million, seven hundred sixty-eight thousand, nine hundred forty".