5040417120 has 96 divisors (see below), whose sum is σ = 16034669280. Its totient is φ = 1330790400.

The previous prime is 5040417079. The next prime is 5040417121. The reversal of 5040417120 is 217140405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040417121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3505 + ... + 100464.

It is an arithmetic number, because the mean of its divisors is an integer number (167027805).

Almost surely, 2^5040417120 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 5040417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017334640).

5040417120 is an abundant number, since it is smaller than the sum of its proper divisors (10994252160).

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

5040417120 is a wasteful number, since it uses less digits than its factorization.

5040417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104088 (or 104080 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5040417120 is about 70995.8950926038. The cubic root of 5040417120 is about 1714.5710742424.

Adding to 5040417120 its reverse (217140405), we get a palindrome (5257557525).

The spelling of 5040417120 in words is "five billion, forty million, four hundred seventeen thousand, one hundred twenty".