60201440460 has 480 divisors, whose sum is σ = 227011720320. Its totient is φ = 13063680000.

The previous prime is 60201440449. The next prime is 60201440461. The reversal of 60201440460 is 6404410206.

60201440460 is a `hidden beast` number, since 60 + 2 + 0 + 144 + 0 + 460 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (60201440461) 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 159 ways as a sum of consecutive naturals, for example, 20058960 + ... + 20061960.

It is an arithmetic number, because the mean of its divisors is an integer number (472941084).

Almost surely, 2^60201440460 is an apocalyptic number.

60201440460 is a gapful number since it is divisible by the number (60) 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 60201440460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113505860160).

60201440460 is an abundant number, since it is smaller than the sum of its proper divisors (166810279860).

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

60201440460 is a wasteful number, since it uses less digits than its factorization.

60201440460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 60201440460 its reverse (6404410206), we get a palindrome (66605850666).

The spelling of 60201440460 in words is "sixty billion, two hundred one million, four hundred forty thousand, four hundred sixty".