4135553120 has 96 divisors (see below), whose sum is σ = 10130793120. Its totient is φ = 1593446400.

The previous prime is 4135553101. The next prime is 4135553143. The reversal of 4135553120 is 213555314.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2787899 + ... + 2789381.

It is an arithmetic number, because the mean of its divisors is an integer number (105529095).

Almost surely, 2^4135553120 is an apocalyptic number.

4135553120 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 4135553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065396560).

4135553120 is an abundant number, since it is smaller than the sum of its proper divisors (5995240000).

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

4135553120 is a wasteful number, since it uses less digits than its factorization.

4135553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 4135553120 is about 64308.2663426717. The cubic root of 4135553120 is about 1605.1336566974.

The spelling of 4135553120 in words is "four billion, one hundred thirty-five million, five hundred fifty-three thousand, one hundred twenty".