561237424128 has 240 divisors, whose sum is σ = 1749271764240. Its totient is φ = 178944049152.

The previous prime is 561237424127. The next prime is 561237424141. The reversal of 561237424128 is 821424732165.

561237424128 is a `hidden beast` number, since 5 + 6 + 12 + 374 + 241 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561237424123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3741876 + ... + 3888972.

It is an arithmetic number, because the mean of its divisors is an integer number (7288632351).

Almost surely, 2^561237424128 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 561237424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874635882120).

561237424128 is an abundant number, since it is smaller than the sum of its proper divisors (1188034340112).

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

561237424128 is a wasteful number, since it uses less digits than its factorization.

561237424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147154 (or 147125 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 561237424128 in words is "five hundred sixty-one billion, two hundred thirty-seven million, four hundred twenty-four thousand, one hundred twenty-eight".