4042284000 has 96 divisors (see below), whose sum is σ = 13242561696. Its totient is φ = 1077939200.

The previous prime is 4042283983. The next prime is 4042284023. The reversal of 4042284000 is 4822404.

4042284000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156429 + ... + 180428.

It is an arithmetic number, because the mean of its divisors is an integer number (137943351).

Almost surely, 2^4042284000 is an apocalyptic number.

4042284000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042284000 is an abundant number, since it is smaller than the sum of its proper divisors (9200277696).

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

4042284000 is a wasteful number, since it uses less digits than its factorization.

4042284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336885 (or 336867 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4042284000 is about 63578.9587835472. The cubic root of 4042284000 is about 1592.9749295504.

The spelling of 4042284000 in words is "four billion, forty-two million, two hundred eighty-four thousand".