4102855416 has 320 divisors, whose sum is σ = 13009455360. Its totient is φ = 1207483200.

The previous prime is 4102855403. The next prime is 4102855433. The reversal of 4102855416 is 6145582014.

It is a happy number.

4102855416 is a `hidden beast` number, since 4 + 102 + 8 + 5 + 541 + 6 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 57786661 + ... + 57786731.

It is an arithmetic number, because the mean of its divisors is an integer number (40654548).

Almost surely, 2^4102855416 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 4102855416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504727680).

4102855416 is an abundant number, since it is smaller than the sum of its proper divisors (8906599944).

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

4102855416 is a wasteful number, since it uses less digits than its factorization.

4102855416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4102855416 is about 64053.5355464474. The cubic root of 4102855416 is about 1600.8921347589.

The spelling of 4102855416 in words is "four billion, one hundred two million, eight hundred fifty-five thousand, four hundred sixteen".