4042295712 has 192 divisors, whose sum is σ = 14511087360. Its totient is φ = 1066079232.

The previous prime is 4042295693. The next prime is 4042295713. The reversal of 4042295712 is 2175922404.

4042295712 is a `hidden beast` number, since 40 + 42 + 2 + 9 + 571 + 2 = 666.

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 (4042295713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52918 + ... + 104330.

It is an arithmetic number, because the mean of its divisors is an integer number (75578580).

Almost surely, 2^4042295712 is an apocalyptic number.

4042295712 is a gapful number since it is divisible by the number (42) 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 4042295712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255543680).

4042295712 is an abundant number, since it is smaller than the sum of its proper divisors (10468791648).

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

4042295712 is a wasteful number, since it uses less digits than its factorization.

4042295712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51452 (or 51438 counting only the distinct ones).

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

The square root of 4042295712 is about 63579.0508894243. The cubic root of 4042295712 is about 1592.9764680292.

The spelling of 4042295712 in words is "four billion, forty-two million, two hundred ninety-five thousand, seven hundred twelve".