4200011616 has 96 divisors (see below), whose sum is σ = 11206218240. Its totient is φ = 1377133056.

The previous prime is 4200011597. The next prime is 4200011639. The reversal of 4200011616 is 6161100024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4200011592 and 4200011601.

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 15 ways as a sum of consecutive naturals, for example, 2403255 + ... + 2405001.

It is an arithmetic number, because the mean of its divisors is an integer number (116731440).

Almost surely, 2^4200011616 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 4200011616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603109120).

4200011616 is an abundant number, since it is smaller than the sum of its proper divisors (7006206624).

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

4200011616 is a wasteful number, since it uses less digits than its factorization.

4200011616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4200011616 is about 64807.4966034023. The cubic root of 4200011616 is about 1613.4301334507.

The spelling of 4200011616 in words is "four billion, two hundred million, eleven thousand, six hundred sixteen".