560399414400 has 1152 divisors, whose sum is σ = 2361786336000. Its totient is φ = 123863040000.

The previous prime is 560399414387. The next prime is 560399414423. The reversal of 560399414400 is 4414993065.

560399414400 is a `hidden beast` number, since 560 + 3 + 9 + 9 + 41 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1248105376 + ... + 1248105824.

It is an arithmetic number, because the mean of its divisors is an integer number (2050161750).

Almost surely, 2^560399414400 is an apocalyptic number.

560399414400 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 560399414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180893168000).

560399414400 is an abundant number, since it is smaller than the sum of its proper divisors (1801386921600).

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

560399414400 is a wasteful number, since it uses less digits than its factorization.

560399414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 560399414400 in words is "five hundred sixty billion, three hundred ninety-nine million, four hundred fourteen thousand, four hundred".