42405366240 has 576 divisors, whose sum is σ = 156603912192. Its totient is φ = 10824192000.

The previous prime is 42405366217. The next prime is 42405366247. The reversal of 42405366240 is 4266350424.

42405366240 is a `hidden beast` number, since 4 + 2 + 405 + 3 + 6 + 6 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42405366195 and 42405366204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42405366247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 181997164 + ... + 181997396.

It is an arithmetic number, because the mean of its divisors is an integer number (271881792).

Almost surely, 2^42405366240 is an apocalyptic number.

42405366240 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 42405366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78301956096).

42405366240 is an abundant number, since it is smaller than the sum of its proper divisors (114198545952).

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

42405366240 is a wasteful number, since it uses less digits than its factorization.

42405366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42405366240 in words is "forty-two billion, four hundred five million, three hundred sixty-six thousand, two hundred forty".