42239508480 has 720 divisors, whose sum is σ = 164060436960. Its totient is φ = 10305404928.

The previous prime is 42239508461. The next prime is 42239508481. The reversal of 42239508480 is 8480593224.

42239508480 is a `hidden beast` number, since 42 + 23 + 9 + 508 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (42239508481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373800904 + ... + 373801016.

It is an arithmetic number, because the mean of its divisors is an integer number (227861718).

Almost surely, 2^42239508480 is an apocalyptic number.

42239508480 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 42239508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82030218480).

42239508480 is an abundant number, since it is smaller than the sum of its proper divisors (121820928480).

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

42239508480 is a wasteful number, since it uses less digits than its factorization.

42239508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42239508480 in words is "forty-two billion, two hundred thirty-nine million, five hundred eight thousand, four hundred eighty".