516407010440 has 64 divisors (see below), whose sum is σ = 1192508438400. Its totient is φ = 201193394688.

The previous prime is 516407010419. The next prime is 516407010443. The reversal of 516407010440 is 44010704615.

It is a junction number, because it is equal to n+sod(n) for n = 516407010397 and 516407010406.

It is not an unprimeable number, because it can be changed into a prime (516407010443) 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, 844004 + ... + 1321043.

It is an arithmetic number, because the mean of its divisors is an integer number (18632944350).

Almost surely, 2^516407010440 is an apocalyptic number.

It is an amenable number.

516407010440 is an abundant number, since it is smaller than the sum of its proper divisors (676101427960).

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

516407010440 is a wasteful number, since it uses less digits than its factorization.

516407010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165214 (or 2165210 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 516407010440 in words is "five hundred sixteen billion, four hundred seven million, ten thousand, four hundred forty".