4042781568 has 384 divisors, whose sum is σ = 13862534400. Its totient is φ = 1107025920.

The previous prime is 4042781549. The next prime is 4042781573. The reversal of 4042781568 is 8651872404.

4042781568 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 7 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30860863 + ... + 30860993.

It is an arithmetic number, because the mean of its divisors is an integer number (36100350).

Almost surely, 2^4042781568 is an apocalyptic number.

4042781568 is a gapful number since it is divisible by the number (48) 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 4042781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931267200).

4042781568 is an abundant number, since it is smaller than the sum of its proper divisors (9819752832).

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

4042781568 is a wasteful number, since it uses less digits than its factorization.

4042781568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4042781568 is about 63582.8716558162. The cubic root of 4042781568 is about 1593.0402870588.

The spelling of 4042781568 in words is "four billion, forty-two million, seven hundred eighty-one thousand, five hundred sixty-eight".