4134404000 has 48 divisors (see below), whose sum is σ = 10158240456. Its totient is φ = 1653760000.

The previous prime is 4134403969. The next prime is 4134404059. The reversal of 4134404000 is 4044314.

It can be written as a sum of positive squares in 4 ways, for example, as 441168016 + 3693235984 = 21004^2 + 60772^2 .

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

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, 512801 + ... + 520800.

Almost surely, 2^4134404000 is an apocalyptic number.

4134404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134404000 is an abundant number, since it is smaller than the sum of its proper divisors (6023836456).

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

4134404000 is a wasteful number, since it uses less digits than its factorization.

4134404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033626 (or 1033608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4134404000 is about 64299.3312562425. The cubic root of 4134404000 is about 1604.9849734782.

Adding to 4134404000 its reverse (4044314), we get a palindrome (4138448314).

The spelling of 4134404000 in words is "four billion, one hundred thirty-four million, four hundred four thousand".