4135455200 has 144 divisors (see below), whose sum is σ = 10582760160. Its totient is φ = 1575045120.

The previous prime is 4135455193. The next prime is 4135455209. The reversal of 4135455200 is 25545314.

It is a super-2 number, since 2×4135455200² = 34203979422414080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135455209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5832446 + ... + 5833154.

It is an arithmetic number, because the mean of its divisors is an integer number (73491390).

Almost surely, 2^4135455200 is an apocalyptic number.

4135455200 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 4135455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291380080).

4135455200 is an abundant number, since it is smaller than the sum of its proper divisors (6447304960).

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

4135455200 is a wasteful number, since it uses less digits than its factorization.

4135455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 4135455200 is about 64307.5050052480. The cubic root of 4135455200 is about 1605.1209880230.

The spelling of 4135455200 in words is "four billion, one hundred thirty-five million, four hundred fifty-five thousand, two hundred".