4686052506240 has 256 divisors, whose sum is σ = 17089908664320. Its totient is φ = 1069887442944.

The previous prime is 4686052506221. The next prime is 4686052506241. The reversal of 4686052506240 is 426052506864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4686052506240.

It is not an unprimeable number, because it can be changed into a prime (4686052506241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11724739 + ... + 12117821.

It is an arithmetic number, because the mean of its divisors is an integer number (66757455720).

Almost surely, 2^{4686052506240} is an apocalyptic number.

4686052506240 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 4686052506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544954332160).

4686052506240 is an abundant number, since it is smaller than the sum of its proper divisors (12403856158080).

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

4686052506240 is a wasteful number, since it uses less digits than its factorization.

4686052506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393999 (or 393987 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 4686052506240 in words is "four trillion, six hundred eighty-six billion, fifty-two million, five hundred six thousand, two hundred forty".