4135440960 has 448 divisors, whose sum is σ = 16862999040. Its totient is φ = 934502400.

The previous prime is 4135440943. The next prime is 4135440971. The reversal of 4135440960 is 690445314.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 6108142 + ... + 6108818.

Almost surely, 2^4135440960 is an apocalyptic number.

4135440960 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 4135440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431499520).

4135440960 is an abundant number, since it is smaller than the sum of its proper divisors (12727558080).

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

4135440960 is a wasteful number, since it uses less digits than its factorization.

4135440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4135440960 is about 64307.3942871269. The cubic root of 4135440960 is about 1605.1191456664.

The spelling of 4135440960 in words is "four billion, one hundred thirty-five million, four hundred forty thousand, nine hundred sixty".