4334042000 has 40 divisors (see below), whose sum is σ = 10479718392. Its totient is φ = 1733616000.

The previous prime is 4334041979. The next prime is 4334042003. The reversal of 4334042000 is 2404334.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1290533776 + 3043508224 = 35924^2 + 55168^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4334042003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081511 + ... + 1085510.

Almost surely, 2^4334042000 is an apocalyptic number.

4334042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334042000 is an abundant number, since it is smaller than the sum of its proper divisors (6145676392).

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

4334042000 is a wasteful number, since it uses less digits than its factorization.

4334042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167044 (or 2167028 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4334042000 is about 65833.4413501224. The cubic root of 4334042000 is about 1630.4132842408.

Adding to 4334042000 its reverse (2404334), we get a palindrome (4336446334).

The spelling of 4334042000 in words is "four billion, three hundred thirty-four million, forty-two thousand".