42850472878080 has 1344 divisors, whose sum is σ = 177255885800448. Its totient is φ = 9727141478400.

The previous prime is 42850472878069. The next prime is 42850472878091. The reversal of 42850472878080 is 8087827405824.

42850472878080 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 0 + 472 + 8 + 7 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42850472878069) and next prime (42850472878091).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 42850472877999 and 42850472878017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10520614924 + ... + 10520618996.

It is an arithmetic number, because the mean of its divisors is an integer number (131886819792).

Almost surely, 2^{42850472878080} is an apocalyptic number.

42850472878080 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 42850472878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88627942900224).

42850472878080 is an abundant number, since it is smaller than the sum of its proper divisors (134405412922368).

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

42850472878080 is an equidigital number, since it uses as much as digits as its factorization.

42850472878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 42850472878080 in words is "forty-two trillion, eight hundred fifty billion, four hundred seventy-two million, eight hundred seventy-eight thousand, eighty".