560440742400 has 2880 divisors, whose sum is σ = 2712822368256. Its totient is φ = 107053056000.

The previous prime is 560440742399. The next prime is 560440742413. The reversal of 560440742400 is 4247044065.

560440742400 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 407 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8364787167 + ... + 8364787233.

Almost surely, 2^560440742400 is an apocalyptic number.

560440742400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560440742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356411184128).

560440742400 is an abundant number, since it is smaller than the sum of its proper divisors (2152381625856).

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

560440742400 is a wasteful number, since it uses less digits than its factorization.

560440742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 560440742400 its reverse (4247044065), we get a palindrome (564687786465).

The spelling of 560440742400 in words is "five hundred sixty billion, four hundred forty million, seven hundred forty-two thousand, four hundred".