512511140410040 has 128 divisors (see below), whose sum is σ = 1175654504793600. Its totient is φ = 201033400296960.

The previous prime is 512511140410037. The next prime is 512511140410103. The reversal of 512511140410040 is 40014041115215.

It is a junction number, because it is equal to n+sod(n) for n = 512511140409985 and 512511140410012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526420421 + ... + 527393099.

It is an arithmetic number, because the mean of its divisors is an integer number (9184800818700).

Almost surely, 2^{512511140410040} 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 512511140410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587827252396800).

512511140410040 is an abundant number, since it is smaller than the sum of its proper divisors (663143364383560).

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

512511140410040 is a wasteful number, since it uses less digits than its factorization.

512511140410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973645 (or 973641 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

Adding to 512511140410040 its reverse (40014041115215), we get a palindrome (552525181525255).

The spelling of 512511140410040 in words is "five hundred twelve trillion, five hundred eleven billion, one hundred forty million, four hundred ten thousand, forty".