4042034000 has 40 divisors (see below), whose sum is σ = 9773643048. Its totient is φ = 1616812800.

The previous prime is 4042033993. The next prime is 4042034021. The reversal of 4042034000 is 4302404.

It can be written as a sum of positive squares in 4 ways, for example, as 31091776 + 4010942224 = 5576^2 + 63332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4042034000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008509 + ... + 1012508.

Almost surely, 2^4042034000 is an apocalyptic number.

4042034000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042034000 is an abundant number, since it is smaller than the sum of its proper divisors (5731609048).

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

4042034000 is a wasteful number, since it uses less digits than its factorization.

4042034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021040 (or 2021024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4042034000 is about 63576.9926938983. The cubic root of 4042034000 is about 1592.9420890455.

Adding to 4042034000 its reverse (4302404), we get a palindrome (4046336404).

The spelling of 4042034000 in words is "four billion, forty-two million, thirty-four thousand", and thus it is an eban number.