42524455680 has 432 divisors, whose sum is σ = 174385446144. Its totient is φ = 9719377920.

The previous prime is 42524455669. The next prime is 42524455703. The reversal of 42524455680 is 8655442524.

42524455680 is a `hidden beast` number, since 4 + 2 + 52 + 44 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 2167515 + ... + 2187045.

Almost surely, 2^42524455680 is an apocalyptic number.

42524455680 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 42524455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87192723072).

42524455680 is an abundant number, since it is smaller than the sum of its proper divisors (131860990464).

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

42524455680 is an equidigital number, since it uses as much as digits as its factorization.

42524455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19574 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 42524455680 in words is "forty-two billion, five hundred twenty-four million, four hundred fifty-five thousand, six hundred eighty".