42488075520 has 864 divisors, whose sum is σ = 172255434624. Its totient is φ = 9634775040.

The previous prime is 42488075491. The next prime is 42488075521. The reversal of 42488075520 is 2557088424.

42488075520 is a `hidden beast` number, since 4 + 2 + 48 + 80 + 7 + 5 + 520 = 666.

It is a super-2 number, since 2×42488075520² (a number of 22 digits) contains 22 as substring.

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 (42488075521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260662959 + ... + 260663121.

It is an arithmetic number, because the mean of its divisors is an integer number (199369716).

Almost surely, 2^42488075520 is an apocalyptic number.

42488075520 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 42488075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86127717312).

42488075520 is an abundant number, since it is smaller than the sum of its proper divisors (129767359104).

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

42488075520 is a wasteful number, since it uses less digits than its factorization.

42488075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 42488075520 in words is "forty-two billion, four hundred eighty-eight million, seventy-five thousand, five hundred twenty".