4168628543520 has 480 divisors, whose sum is σ = 16818730524288. Its totient is φ = 952531218432.

The previous prime is 4168628543459. The next prime is 4168628543537. The reversal of 4168628543520 is 253458268614.

4168628543520 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 6 + 285 + 4 + 352 + 0 = 666.

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 (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 434816167 + ... + 434825753.

Almost surely, 2^{4168628543520} is an apocalyptic number.

4168628543520 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 4168628543520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409365262144).

4168628543520 is an abundant number, since it is smaller than the sum of its proper divisors (12650101980768).

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

4168628543520 is a wasteful number, since it uses less digits than its factorization.

4168628543520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14414 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 4168628543520 in words is "four trillion, one hundred sixty-eight billion, six hundred twenty-eight million, five hundred forty-three thousand, five hundred twenty".