42540384480 has 192 divisors, whose sum is σ = 146549088000. Its totient is φ = 10287083520.

The previous prime is 42540384463. The next prime is 42540384511. The reversal of 42540384480 is 8448304524.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2149671 + ... + 2169369.

It is an arithmetic number, because the mean of its divisors is an integer number (763276500).

Almost surely, 2^42540384480 is an apocalyptic number.

42540384480 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 42540384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73274544000).

42540384480 is an abundant number, since it is smaller than the sum of its proper divisors (104008703520).

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

42540384480 is a wasteful number, since it uses less digits than its factorization.

42540384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20137 (or 20129 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 42540384480 in words is "forty-two billion, five hundred forty million, three hundred eighty-four thousand, four hundred eighty".