510501416340 has 96 divisors (see below), whose sum is σ = 1440105891840. Its totient is φ = 135115053696.

The previous prime is 510501416333. The next prime is 510501416353. The reversal of 510501416340 is 43614105015.

It is a happy number.

It is a super-2 number, since 2×510501416340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 510501416298 and 510501416307.

It is a congruent number.

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, 38882857 + ... + 38895983.

It is an arithmetic number, because the mean of its divisors is an integer number (15001103040).

Almost surely, 2^510501416340 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 510501416340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720052945920).

510501416340 is an abundant number, since it is smaller than the sum of its proper divisors (929604475500).

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

510501416340 is a wasteful number, since it uses less digits than its factorization.

510501416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17941 (or 17939 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

It can be divided in two parts, 510501 and 416340, that added together give a triangular number (926841 = T₁₃₆₁).

The spelling of 510501416340 in words is "five hundred ten billion, five hundred one million, four hundred sixteen thousand, three hundred forty".