42605955360 has 144 divisors (see below), whose sum is σ = 145750321080. Its totient is φ = 11333652480.

The previous prime is 42605955299. The next prime is 42605955361. The reversal of 42605955360 is 6355950624.

42605955360 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 595 + 53 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42605913744 + 41616 = 206412^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (42605955361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552790 + ... + 625130.

Almost surely, 2^42605955360 is an apocalyptic number.

42605955360 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 42605955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72875160540).

42605955360 is an abundant number, since it is smaller than the sum of its proper divisors (103144365720).

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

42605955360 is a wasteful number, since it uses less digits than its factorization.

42605955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72771 (or 72760 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 42605955360 in words is "forty-two billion, six hundred five million, nine hundred fifty-five thousand, three hundred sixty".