5034171740416 has 729 divisors, whose sum is σ = 13432319255061. Its totient is φ = 1876519636992.

The previous prime is 5034171740401. The next prime is 5034171740417. The reversal of 5034171740416 is 6140471714305.

It is a happy number.

The square root of 5034171740416 is 2243696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 744699961600 + 4289471778816 = 862960^2 + 2071104^2 .

It is a super-2 number, since 2×5034171740416² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5034171740417) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 75136891615 + ... + 75136891681.

Almost surely, 2^{5034171740416} is an apocalyptic number.

5034171740416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5034171740416 is the 2243696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5034171740416

5034171740416 is an abundant number, since it is smaller than the sum of its proper divisors (8398147514645).

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

5034171740416 is an equidigital number, since it uses as much as digits as its factorization.

5034171740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 5034171740416 in words is "five trillion, thirty-four billion, one hundred seventy-one million, seven hundred forty thousand, four hundred sixteen".