42668420484480 has 256 divisors, whose sum is σ = 158607104832000. Its totient is φ = 9752781674496.

The previous prime is 42668420484467. The next prime is 42668420484517. The reversal of 42668420484480 is 8448402486624.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 31736682 + ... + 33053801.

It is an arithmetic number, because the mean of its divisors is an integer number (619559003250).

Almost surely, 2^{42668420484480} is an apocalyptic number.

42668420484480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42668420484480 is an abundant number, since it is smaller than the sum of its proper divisors (115938684347520).

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

42668420484480 is an equidigital number, since it uses as much as digits as its factorization.

42668420484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64790526 (or 64790500 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 60.

The spelling of 42668420484480 in words is "forty-two trillion, six hundred sixty-eight billion, four hundred twenty million, four hundred eighty-four thousand, four hundred eighty".