501716300440640 has 224 divisors, whose sum is σ = 1264959664721280. Its totient is φ = 189213905534976.

The previous prime is 501716300440631. The next prime is 501716300440651. The reversal of 501716300440640 is 46044003617105.

It is a super-2 number, since 2×501716300440640² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657061747 + ... + 1657364493.

Almost surely, 2^{501716300440640} 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 501716300440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632479832360640).

501716300440640 is an abundant number, since it is smaller than the sum of its proper divisors (763243364280640).

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

501716300440640 is a wasteful number, since it uses less digits than its factorization.

501716300440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306989 (or 306979 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 501716300440640 in words is "five hundred one trillion, seven hundred sixteen billion, three hundred million, four hundred forty thousand, six hundred forty".