4102773120 has 768 divisors, whose sum is σ = 16253153280. Its totient is φ = 985374720.

The previous prime is 4102773109. The next prime is 4102773121. The reversal of 4102773120 is 213772014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102773121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110885742 + ... + 110885778.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^4102773120 is an apocalyptic number.

4102773120 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 4102773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126576640).

4102773120 is an abundant number, since it is smaller than the sum of its proper divisors (12150380160).

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

4102773120 is a wasteful number, since it uses less digits than its factorization.

4102773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4102773120 is about 64052.8931430892. The cubic root of 4102773120 is about 1600.8814310021.

The spelling of 4102773120 in words is "four billion, one hundred two million, seven hundred seventy-three thousand, one hundred twenty".