4135055023424 has 224 divisors, whose sum is σ = 9198410457600. Its totient is φ = 1831227310080.

The previous prime is 4135055023357. The next prime is 4135055023427. The reversal of 4135055023424 is 4243205505314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135055023427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3979840697 + ... + 3979841735.

It is an arithmetic number, because the mean of its divisors is an integer number (41064332400).

Almost surely, 2^{4135055023424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135055023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599205228800).

4135055023424 is an abundant number, since it is smaller than the sum of its proper divisors (5063355434176).

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

4135055023424 is a wasteful number, since it uses less digits than its factorization.

4135055023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 4135055023424 in words is "four trillion, one hundred thirty-five billion, fifty-five million, twenty-three thousand, four hundred twenty-four".