42820414560 has 768 divisors, whose sum is σ = 188726630400. Its totient is φ = 8808652800.

The previous prime is 42820414529. The next prime is 42820414561. The reversal of 42820414560 is 6541402824.

42820414560 is a `hidden beast` number, since 4 + 2 + 82 + 0 + 4 + 14 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42820414561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36257170 + ... + 36258350.

It is an arithmetic number, because the mean of its divisors is an integer number (245737800).

Almost surely, 2^42820414560 is an apocalyptic number.

42820414560 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 42820414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94363315200).

42820414560 is an abundant number, since it is smaller than the sum of its proper divisors (145906215840).

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

42820414560 is a wasteful number, since it uses less digits than its factorization.

42820414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42820414560 in words is "forty-two billion, eight hundred twenty million, four hundred fourteen thousand, five hundred sixty".