4201120016 has 40 divisors (see below), whose sum is σ = 8637572160. Its totient is φ = 1975166336.

The previous prime is 4201120013. The next prime is 4201120057. The reversal of 4201120016 is 6100211024.

It is a junction number, because it is equal to n+sod(n) for n = 4201119976 and 4201120003.

It is not an unprimeable number, because it can be changed into a prime (4201120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75035 + ... + 118458.

It is an arithmetic number, because the mean of its divisors is an integer number (215939304).

Almost surely, 2^4201120016 is an apocalyptic number.

4201120016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4201120016 is an abundant number, since it is smaller than the sum of its proper divisors (4436452144).

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

4201120016 is a wasteful number, since it uses less digits than its factorization.

4201120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193583 (or 193577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 4201120016 is about 64816.0475191137. The cubic root of 4201120016 is about 1613.5720512064.

The spelling of 4201120016 in words is "four billion, two hundred one million, one hundred twenty thousand, sixteen".