5206412109640 has 192 divisors, whose sum is σ = 13671239670000. Its totient is φ = 1779266248704.

The previous prime is 5206412109623. The next prime is 5206412109659. The reversal of 5206412109640 is 469012146025.

It can be written as a sum of positive squares in 8 ways, for example, as 3684687558916 + 1521724550724 = 1919554^2 + 1233582^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5206412109593 and 5206412109602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1674624406 + ... + 1674627514.

Almost surely, 2^{5206412109640} 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 5206412109640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835619835000).

5206412109640 is an abundant number, since it is smaller than the sum of its proper divisors (8464827560360).

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

5206412109640 is a wasteful number, since it uses less digits than its factorization.

5206412109640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 5206412109640 in words is "five trillion, two hundred six billion, four hundred twelve million, one hundred nine thousand, six hundred forty".