4141668630528 has 1260 divisors, whose sum is σ = 15119754067264. Its totient is φ = 1121137459200.

The previous prime is 4141668630511. The next prime is 4141668630529. The reversal of 4141668630528 is 8250368661414.

4141668630528 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 6 + 6 + 86 + 30 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4141668630529) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 133602213873 + ... + 133602213903.

Almost surely, 2^{4141668630528} is an apocalyptic number.

4141668630528 is a gapful number since it is divisible by the number (48) 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 4141668630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559877033632).

4141668630528 is an abundant number, since it is smaller than the sum of its proper divisors (10978085436736).

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

4141668630528 is an frugal number, since it uses more digits than its factorization.

4141668630528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4141668630528 in words is "four trillion, one hundred forty-one billion, six hundred sixty-eight million, six hundred thirty thousand, five hundred twenty-eight".