4034135424 has 64 divisors (see below), whose sum is σ = 11689836480. Its totient is φ = 1222464000.

The previous prime is 4034135321. The next prime is 4034135467. The reversal of 4034135424 is 4245314304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4034135391 and 4034135400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473302 + ... + 481749.

It is an arithmetic number, because the mean of its divisors is an integer number (182653695).

Almost surely, 2^4034135424 is an apocalyptic number.

4034135424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4034135424 is an abundant number, since it is smaller than the sum of its proper divisors (7655701056).

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

4034135424 is a wasteful number, since it uses less digits than its factorization.

4034135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955079 (or 955067 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4034135424 is about 63514.8441232441. The cubic root of 4034135424 is about 1591.9038181667.

Adding to 4034135424 its reverse (4245314304), we get a palindrome (8279449728).

The spelling of 4034135424 in words is "four billion, thirty-four million, one hundred thirty-five thousand, four hundred twenty-four".