4201661520 has 960 divisors, whose sum is σ = 18802368000. Its totient is φ = 817496064.

The previous prime is 4201661483. The next prime is 4201661533. The reversal of 4201661520 is 251661024.

4201661520 is a `hidden beast` number, since 4 + 20 + 1 + 6 + 615 + 20 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 47209636 + ... + 47209724.

It is an arithmetic number, because the mean of its divisors is an integer number (19585800).

Almost surely, 2^4201661520 is an apocalyptic number.

4201661520 is a gapful number since it is divisible by the number (40) 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 4201661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184000).

4201661520 is an abundant number, since it is smaller than the sum of its proper divisors (14600706480).

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

4201661520 is a wasteful number, since it uses less digits than its factorization.

4201661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4201661520 is about 64820.2246216410. The cubic root of 4201661520 is about 1613.6413754325.

The spelling of 4201661520 in words is "four billion, two hundred one million, six hundred sixty-one thousand, five hundred twenty".