560416631040 has 2592 divisors, whose sum is σ = 2612460404736. Its totient is φ = 112332718080.

The previous prime is 560416631039. The next prime is 560416631051. The reversal of 560416631040 is 40136614065.

It is a happy number.

560416631040 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 16 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 560416630986 and 560416631004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18077955825 + ... + 18077955855.

Almost surely, 2^560416631040 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 560416631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306230202368).

560416631040 is an abundant number, since it is smaller than the sum of its proper divisors (2052043773696).

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

560416631040 is a wasteful number, since it uses less digits than its factorization.

560416631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 560416631040 in words is "five hundred sixty billion, four hundred sixteen million, six hundred thirty-one thousand, forty".