42393732480 has 512 divisors, whose sum is σ = 170933068800. Its totient is φ = 9829416960.

The previous prime is 42393732419. The next prime is 42393732487. The reversal of 42393732480 is 8423739324.

42393732480 is a `hidden beast` number, since 4 + 2 + 39 + 373 + 248 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42393732487) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4366992 + ... + 4376688.

It is an arithmetic number, because the mean of its divisors is an integer number (333853650).

Almost surely, 2^42393732480 is an apocalyptic number.

42393732480 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 42393732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85466534400).

42393732480 is an abundant number, since it is smaller than the sum of its proper divisors (128539336320).

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

42393732480 is a wasteful number, since it uses less digits than its factorization.

42393732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9741 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 42393732480 in words is "forty-two billion, three hundred ninety-three million, seven hundred thirty-two thousand, four hundred eighty".