4109901012 has 144 divisors (see below), whose sum is σ = 12585202560. Its totient is φ = 1136177280.

The previous prime is 4109900939. The next prime is 4109901023. The reversal of 4109901012 is 2101099014.

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

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 47 ways as a sum of consecutive naturals, for example, 723688 + ... + 729344.

It is an arithmetic number, because the mean of its divisors is an integer number (87397240).

Almost surely, 2^4109901012 is an apocalyptic number.

4109901012 is a gapful number since it is divisible by the number (42) 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 4109901012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292601280).

4109901012 is an abundant number, since it is smaller than the sum of its proper divisors (8475301548).

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

4109901012 is a wasteful number, since it uses less digits than its factorization.

4109901012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 4109901012 is about 64108.5096691539. The cubic root of 4109901012 is about 1601.8079838312.

The spelling of 4109901012 in words is "four billion, one hundred nine million, nine hundred one thousand, twelve".