42488596561320 has 384 divisors, whose sum is σ = 178899356563200. Its totient is φ = 8492804370432.

The previous prime is 42488596561297. The next prime is 42488596561361. The reversal of 42488596561320 is 2316569588424.

42488596561320 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 8 + 5 + 9 + 6 + 5 + 613 + 2 + 0 = 666.

42488596561320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42488596561320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33508237 + ... + 34753116.

It is an arithmetic number, because the mean of its divisors is an integer number (465883741050).

Almost surely, 2^{42488596561320} is an apocalyptic number.

42488596561320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42488596561320 is an abundant number, since it is smaller than the sum of its proper divisors (136410760001880).

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

42488596561320 is a wasteful number, since it uses less digits than its factorization.

42488596561320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68261409 (or 68261402 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 42488596561320 in words is "forty-two trillion, four hundred eighty-eight billion, five hundred ninety-six million, five hundred sixty-one thousand, three hundred twenty".