4134814440 has 64 divisors (see below), whose sum is σ = 12408672960. Its totient is φ = 1102241280.

The previous prime is 4134814429. The next prime is 4134814469. The reversal of 4134814440 is 444184314.

4134814440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 675795 + ... + 681885.

It is an arithmetic number, because the mean of its divisors is an integer number (193885515).

Almost surely, 2^4134814440 is an apocalyptic number.

4134814440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134814440 is an abundant number, since it is smaller than the sum of its proper divisors (8273858520).

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

4134814440 is a wasteful number, since it uses less digits than its factorization.

4134814440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4134814440 is about 64302.5228120950. The cubic root of 4134814440 is about 1605.0380829659.

Adding to 4134814440 its reverse (444184314), we get a palindrome (4578998754).

The spelling of 4134814440 in words is "four billion, one hundred thirty-four million, eight hundred fourteen thousand, four hundred forty".