42241932480 has 672 divisors, whose sum is σ = 156367959552. Its totient is φ = 9634775040.

The previous prime is 42241932461. The next prime is 42241932497. The reversal of 42241932480 is 8423914224.

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 95 ways as a sum of consecutive naturals, for example, 259152879 + ... + 259153041.

It is an arithmetic number, because the mean of its divisors is an integer number (232690416).

Almost surely, 2^42241932480 is an apocalyptic number.

42241932480 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 42241932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78183979776).

42241932480 is an abundant number, since it is smaller than the sum of its proper divisors (114126027072).

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

42241932480 is a wasteful number, since it uses less digits than its factorization.

42241932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 42241932480 in words is "forty-two billion, two hundred forty-one million, nine hundred thirty-two thousand, four hundred eighty".