4134433440 has 192 divisors, whose sum is σ = 14044544640. Its totient is φ = 1018920960.

The previous prime is 4134433423. The next prime is 4134433453. The reversal of 4134433440 is 443344314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4134433398 and 4134433407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368392 + ... + 379448.

It is an arithmetic number, because the mean of its divisors is an integer number (73148670).

Almost surely, 2^4134433440 is an apocalyptic number.

4134433440 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 4134433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022272320).

4134433440 is an abundant number, since it is smaller than the sum of its proper divisors (9910111200).

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

4134433440 is a wasteful number, since it uses less digits than its factorization.

4134433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 4134433440 is about 64299.5601851210. The cubic root of 4134433440 is about 1604.9887830274.

Adding to 4134433440 its reverse (443344314), we get a palindrome (4577777754).

The spelling of 4134433440 in words is "four billion, one hundred thirty-four million, four hundred thirty-three thousand, four hundred forty".