4102441506 has 160 divisors (see below), whose sum is σ = 10186767360. Its totient is φ = 1228211424.

The previous prime is 4102441477. The next prime is 4102441543. The reversal of 4102441506 is 6051442014.

4102441506 is a `hidden beast` number, since 410 + 244 + 1 + 5 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4102441506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11822425 + ... + 11822771.

It is an arithmetic number, because the mean of its divisors is an integer number (63667296).

Almost surely, 2^4102441506 is an apocalyptic number.

4102441506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102441506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093383680).

4102441506 is an abundant number, since it is smaller than the sum of its proper divisors (6084325854).

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

4102441506 is a wasteful number, since it uses less digits than its factorization.

4102441506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4102441506 is about 64050.3044957633. The cubic root of 4102441506 is about 1600.8382984685.

The spelling of 4102441506 in words is "four billion, one hundred two million, four hundred forty-one thousand, five hundred six".