4155411120 has 320 divisors, whose sum is σ = 15419203584. Its totient is φ = 905748480.

The previous prime is 4155411119. The next prime is 4155411149. The reversal of 4155411120 is 211145514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3801294 + ... + 3802386.

Almost surely, 2^4155411120 is an apocalyptic number.

4155411120 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 4155411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709601792).

4155411120 is an abundant number, since it is smaller than the sum of its proper divisors (11263792464).

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

4155411120 is a wasteful number, since it uses less digits than its factorization.

4155411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 4155411120 is about 64462.4783885944. The cubic root of 4155411120 is about 1607.6987195750.

Adding to 4155411120 its reverse (211145514), we get a palindrome (4366556634).

The spelling of 4155411120 in words is "four billion, one hundred fifty-five million, four hundred eleven thousand, one hundred twenty".