4077120096 has 144 divisors (see below), whose sum is σ = 13741588224. Its totient is φ = 1164875904.

The previous prime is 4077120083. The next prime is 4077120161. The reversal of 4077120096 is 6900217704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4077120096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16981 + ... + 91883.

It is an arithmetic number, because the mean of its divisors is an integer number (95427696).

Almost surely, 2^4077120096 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 4077120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870794112).

4077120096 is an abundant number, since it is smaller than the sum of its proper divisors (9664468128).

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

4077120096 is an equidigital number, since it uses as much as digits as its factorization.

4077120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74935 (or 74915 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 4077120096 is about 63852.3303881699. The cubic root of 4077120096 is about 1597.5378923763.

The spelling of 4077120096 in words is "four billion, seventy-seven million, one hundred twenty thousand, ninety-six".