4095549120 has 224 divisors, whose sum is σ = 14139111168. Its totient is φ = 998387712.

The previous prime is 4095549109. The next prime is 4095549167. The reversal of 4095549120 is 219455904.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333827 + ... + 1336893.

It is an arithmetic number, because the mean of its divisors is an integer number (63121032).

Almost surely, 2^4095549120 is an apocalyptic number.

4095549120 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 4095549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069555584).

4095549120 is an abundant number, since it is smaller than the sum of its proper divisors (10043562048).

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

4095549120 is a wasteful number, since it uses less digits than its factorization.

4095549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 4095549120 is about 63996.4774030571. The cubic root of 4095549120 is about 1599.9412895124.

The spelling of 4095549120 in words is "four billion, ninety-five million, five hundred forty-nine thousand, one hundred twenty".