242045409060 has 384 divisors, whose sum is σ = 928757760000. Its totient is φ = 50961415680.

The previous prime is 242045409037. The next prime is 242045409091. The reversal of 242045409060 is 60904540242.

242045409060 is a `hidden beast` number, since 2 + 4 + 20 + 4 + 540 + 90 + 6 + 0 = 666.

242045409060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24515925 + ... + 24525795.

It is an arithmetic number, because the mean of its divisors is an integer number (2418640000).

Almost surely, 2^242045409060 is an apocalyptic number.

242045409060 is a gapful number since it is divisible by the number (20) 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 242045409060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464378880000).

242045409060 is an abundant number, since it is smaller than the sum of its proper divisors (686712350940).

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

242045409060 is a wasteful number, since it uses less digits than its factorization.

242045409060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 242045409060 in words is "two hundred forty-two billion, forty-five million, four hundred nine thousand, sixty".