4302785802042 has 384 divisors, whose sum is σ = 12063261450240. Its totient is φ = 1084685696640.

The previous prime is 4302785802019. The next prime is 4302785802067. The reversal of 4302785802042 is 2402085872034.

4302785802042 is a `hidden beast` number, since 4 + 3 + 0 + 2 + 7 + 8 + 580 + 20 + 42 = 666.

It is a super-2 number, since 2×4302785802042² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 559453417 + ... + 559461107.

It is an arithmetic number, because the mean of its divisors is an integer number (31414743360).

Almost surely, 2^{4302785802042} is an apocalyptic number.

4302785802042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4302785802042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031630725120).

4302785802042 is an abundant number, since it is smaller than the sum of its proper divisors (7760475648198).

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

4302785802042 is a wasteful number, since it uses less digits than its factorization.

4302785802042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4302785802042 in words is "four trillion, three hundred two billion, seven hundred eighty-five million, eight hundred two thousand, forty-two".