4201317120 has 576 divisors, whose sum is σ = 18032200704. Its totient is φ = 805109760.

The previous prime is 4201317079. The next prime is 4201317137. The reversal of 4201317120 is 217131024.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 3843294 + ... + 3844386.

It is an arithmetic number, because the mean of its divisors is an integer number (31305904).

Almost surely, 2^4201317120 is an apocalyptic number.

4201317120 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 4201317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016100352).

4201317120 is an abundant number, since it is smaller than the sum of its proper divisors (13830883584).

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

4201317120 is a wasteful number, since it uses less digits than its factorization.

4201317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4201317120 is about 64817.5679889334. The cubic root of 4201317120 is about 1613.5972854718.

Adding to 4201317120 its reverse (217131024), we get a palindrome (4418448144).

It can be divided in two parts, 420 and 1317120, that multiplied together give a square (553190400 = 23520²).

The spelling of 4201317120 in words is "four billion, two hundred one million, three hundred seventeen thousand, one hundred twenty".