42561981360 has 400 divisors, whose sum is σ = 152833384704. Its totient is φ = 10970878464.

The previous prime is 42561981353. The next prime is 42561981373. The reversal of 42561981360 is 6318916524.

42561981360 is a `hidden beast` number, since 4 + 2 + 561 + 9 + 81 + 3 + 6 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 28699179 + ... + 28700661.

Almost surely, 2^42561981360 is an apocalyptic number.

42561981360 is a gapful number since it is divisible by the number (40) 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 42561981360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76416692352).

42561981360 is an abundant number, since it is smaller than the sum of its proper divisors (110271403344).

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

42561981360 is a wasteful number, since it uses less digits than its factorization.

42561981360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 42561981360 in words is "forty-two billion, five hundred sixty-one million, nine hundred eighty-one thousand, three hundred sixty".