42942858445440 has 1024 divisors, whose sum is σ = 159607281254400. Its totient is φ = 11035077120000.

The previous prime is 42942858445439. The next prime is 42942858445483. The reversal of 42942858445440 is 4454485824924.

42942858445440 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 2 + 8 + 5 + 84 + 4 + 544 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 10890908109 + ... + 10890912051.

It is an arithmetic number, because the mean of its divisors is an integer number (155866485600).

Almost surely, 2^{42942858445440} is an apocalyptic number.

42942858445440 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 42942858445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803640627200).

42942858445440 is an abundant number, since it is smaller than the sum of its proper divisors (116664422808960).

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

42942858445440 is an equidigital number, since it uses as much as digits as its factorization.

42942858445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 235929600, while the sum is 63.

The spelling of 42942858445440 in words is "forty-two trillion, nine hundred forty-two billion, eight hundred fifty-eight million, four hundred forty-five thousand, four hundred forty".