4135320000 has 560 divisors, whose sum is σ = 17393432320. Its totient is φ = 943488000.

The previous prime is 4135319939. The next prime is 4135320011. The reversal of 4135320000 is 235314.

4135320000 is a `hidden beast` number, since 413 + 53 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7559727 + ... + 7560273.

Almost surely, 2^4135320000 is an apocalyptic number.

4135320000 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 4135320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696716160).

4135320000 is an abundant number, since it is smaller than the sum of its proper divisors (13258112320).

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

4135320000 is an equidigital number, since it uses as much as digits as its factorization.

4135320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4135320000 is about 64306.4537974222. The cubic root of 4135320000 is about 1605.1034958154.

Adding to 4135320000 its reverse (235314), we get a palindrome (4135555314).

The spelling of 4135320000 in words is "four billion, one hundred thirty-five million, three hundred twenty thousand".