42658916128800 has 144 divisors (see below), whose sum is σ = 139630498388640. Its totient is φ = 11312159395840.

The previous prime is 42658916128799. The next prime is 42658916128819. The reversal of 42658916128800 is 882161985624.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49219977 + ... + 50079176.

It is an arithmetic number, because the mean of its divisors is an integer number (969656238810).

Almost surely, 2^{42658916128800} is an apocalyptic number.

42658916128800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42658916128800 is an abundant number, since it is smaller than the sum of its proper divisors (96971582259840).

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

42658916128800 is a wasteful number, since it uses less digits than its factorization.

42658916128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99299355 (or 99299342 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 42658916128800 in words is "forty-two trillion, six hundred fifty-eight billion, nine hundred sixteen million, one hundred twenty-eight thousand, eight hundred".