4315060680480 has 1152 divisors, whose sum is σ = 17039432906496. Its totient is φ = 1022400921600.

The previous prime is 4315060680479. The next prime is 4315060680487. The reversal of 4315060680480 is 840860605134.

4315060680480 is a `hidden beast` number, since 4 + 3 + 1 + 50 + 60 + 68 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4315060680487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5035076212 + ... + 5035077068.

It is an arithmetic number, because the mean of its divisors is an integer number (14791174398).

Almost surely, 2^{4315060680480} is an apocalyptic number.

4315060680480 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 4315060680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519716453248).

4315060680480 is an abundant number, since it is smaller than the sum of its proper divisors (12724372226016).

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

4315060680480 is a wasteful number, since it uses less digits than its factorization.

4315060680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4315060680480 in words is "four trillion, three hundred fifteen billion, sixty million, six hundred eighty thousand, four hundred eighty".