42850713600 has 324 divisors, whose sum is σ = 153605836566. Its totient is φ = 11418992640.

The previous prime is 42850713599. The next prime is 42850713601. The reversal of 42850713600 is 631705824.

42850713600 is a `hidden beast` number, since 42 + 8 + 5 + 0 + 7 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42850713599) and next prime (42850713601).

It can be written as a sum of positive squares in 3 ways, for example, as 40797536256 + 2053177344 = 201984^2 + 45312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42850713601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29490474 + ... + 29491926.

Almost surely, 2^42850713600 is an apocalyptic number.

42850713600 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 42850713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76802918283).

42850713600 is an abundant number, since it is smaller than the sum of its proper divisors (110755122966).

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

42850713600 is an equidigital number, since it uses as much as digits as its factorization.

42850713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42850713600 in words is "forty-two billion, eight hundred fifty million, seven hundred thirteen thousand, six hundred".