4134535440 has 320 divisors, whose sum is σ = 14999040000. Its totient is φ = 922724352.

The previous prime is 4134535393. The next prime is 4134535487. The reversal of 4134535440 is 445354314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4134535393) and next prime (4134535487).

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 63 ways as a sum of consecutive naturals, for example, 20776461 + ... + 20776659.

It is an arithmetic number, because the mean of its divisors is an integer number (46872000).

Almost surely, 2^4134535440 is an apocalyptic number.

4134535440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520000).

4134535440 is an abundant number, since it is smaller than the sum of its proper divisors (10864504560).

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

4134535440 is a wasteful number, since it uses less digits than its factorization.

4134535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 4134535440 is about 64300.3533427306. The cubic root of 4134535440 is about 1605.0019817330.

Adding to 4134535440 its reverse (445354314), we get a palindrome (4579889754).

The spelling of 4134535440 in words is "four billion, one hundred thirty-four million, five hundred thirty-five thousand, four hundred forty".