4116996072 has 160 divisors (see below), whose sum is σ = 13448424000. Its totient is φ = 1176221088.

The previous prime is 4116996053. The next prime is 4116996077. The reversal of 4116996072 is 2706996114.

It is not an unprimeable number, because it can be changed into a prime (4116996077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213003 + ... + 231525.

It is an arithmetic number, because the mean of its divisors is an integer number (84052650).

Almost surely, 2^4116996072 is an apocalyptic number.

4116996072 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 4116996072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724212000).

4116996072 is an abundant number, since it is smaller than the sum of its proper divisors (9331427928).

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

4116996072 is a wasteful number, since it uses less digits than its factorization.

4116996072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18535 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 4116996072 is about 64163.8221430114. The cubic root of 4116996072 is about 1602.7292055429.

The spelling of 4116996072 in words is "four billion, one hundred sixteen million, nine hundred ninety-six thousand, seventy-two".