4201517120 has 112 divisors (see below), whose sum is σ = 10561320000. Its totient is φ = 1587640320.

The previous prime is 4201517093. The next prime is 4201517123. The reversal of 4201517120 is 217151024.

It is a super-2 number, since 2×4201517120² = 35305492219306188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4201517123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2802131 + ... + 2803629.

It is an arithmetic number, because the mean of its divisors is an integer number (94297500).

Almost surely, 2^4201517120 is an apocalyptic number.

4201517120 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 4201517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280660000).

4201517120 is an abundant number, since it is smaller than the sum of its proper divisors (6359802880).

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

4201517120 is a wasteful number, since it uses less digits than its factorization.

4201517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 4201517120 is about 64819.1107621819. The cubic root of 4201517120 is about 1613.6228896912.

Adding to 4201517120 its reverse (217151024), we get a palindrome (4418668144).

The spelling of 4201517120 in words is "four billion, two hundred one million, five hundred seventeen thousand, one hundred twenty".