561400602400 has 216 divisors, whose sum is σ = 1509055453332. Its totient is φ = 203791104000.

The previous prime is 561400602397. The next prime is 561400602517. The reversal of 561400602400 is 4206004165.

It can be written as a sum of positive squares in 6 ways, for example, as 90074415376 + 471326187024 = 300124^2 + 686532^2 .

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 35 ways as a sum of consecutive naturals, for example, 59333670 + ... + 59343130.

Almost surely, 2^561400602400 is an apocalyptic number.

561400602400 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 561400602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754527726666).

561400602400 is an abundant number, since it is smaller than the sum of its proper divisors (947654850932).

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

561400602400 is a wasteful number, since it uses less digits than its factorization.

561400602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 561400602400 its reverse (4206004165), we get a palindrome (565606606565).

The spelling of 561400602400 in words is "five hundred sixty-one billion, four hundred million, six hundred two thousand, four hundred".