4123435680 has 768 divisors, whose sum is σ = 18837826560. Its totient is φ = 817496064.

The previous prime is 4123435661. The next prime is 4123435703. The reversal of 4123435680 is 865343214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682732 + ... + 6683348.

It is an arithmetic number, because the mean of its divisors is an integer number (24528420).

Almost surely, 2^4123435680 is an apocalyptic number.

4123435680 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 4123435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418913280).

4123435680 is an abundant number, since it is smaller than the sum of its proper divisors (14714390880).

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

4123435680 is a wasteful number, since it uses less digits than its factorization.

4123435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4123435680 is about 64213.9835238400. The cubic root of 4123435680 is about 1603.5644076439.

Adding to 4123435680 its reverse (865343214), we get a palindrome (4988778894).

The spelling of 4123435680 in words is "four billion, one hundred twenty-three million, four hundred thirty-five thousand, six hundred eighty".