4201515360 has 480 divisors, whose sum is σ = 17541437760. Its totient is φ = 926650368.

The previous prime is 4201515349. The next prime is 4201515379. The reversal of 4201515360 is 635151024.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630082 + ... + 2631678.

It is an arithmetic number, because the mean of its divisors is an integer number (36544662).

Almost surely, 2^4201515360 is an apocalyptic number.

4201515360 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 4201515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770718880).

4201515360 is an abundant number, since it is smaller than the sum of its proper divisors (13339922400).

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

4201515360 is a wasteful number, since it uses less digits than its factorization.

4201515360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4201515360 is about 64819.0971859374. The cubic root of 4201515360 is about 1613.6226643776.

Adding to 4201515360 its reverse (635151024), we get a palindrome (4836666384).

It can be divided in two parts, 42015 and 15360, that added together give a palindrome (57375).

The spelling of 4201515360 in words is "four billion, two hundred one million, five hundred fifteen thousand, three hundred sixty".