42505344000 has 1056 divisors, whose sum is σ = 183475393920. Its totient is φ = 9676800000.

The previous prime is 42505343983. The next prime is 42505344023. The reversal of 42505344000 is 44350524.

42505344000 is a `hidden beast` number, since 4 + 250 + 5 + 3 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343875 + ... + 169344125.

Almost surely, 2^42505344000 is an apocalyptic number.

42505344000 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 42505344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91737696960).

42505344000 is an abundant number, since it is smaller than the sum of its proper divisors (140970049920).

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

42505344000 is a wasteful number, since it uses less digits than its factorization.

42505344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 42505344000 its reverse (44350524), we get a palindrome (42549694524).

The spelling of 42505344000 in words is "forty-two billion, five hundred five million, three hundred forty-four thousand".