4135798080 has 252 divisors, whose sum is σ = 15114475740. Its totient is φ = 1037795328.

The previous prime is 4135798027. The next prime is 4135798081. The reversal of 4135798080 is 808975314.

It can be written as a sum of positive squares in 6 ways, for example, as 17239104 + 4118558976 = 4152^2 + 64176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135798081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 829836 + ... + 834804.

Almost surely, 2^4135798080 is an apocalyptic number.

4135798080 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 4135798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557237870).

4135798080 is an abundant number, since it is smaller than the sum of its proper divisors (10978677660).

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

4135798080 is a wasteful number, since it uses less digits than its factorization.

4135798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4135798080 is about 64310.1708907697. The cubic root of 4135798080 is about 1605.1653482081.

The spelling of 4135798080 in words is "four billion, one hundred thirty-five million, seven hundred ninety-eight thousand, eighty".