4101471998208 has 720 divisors, whose sum is σ = 13562061004800. Its totient is φ = 1224934244352.

The previous prime is 4101471998167. The next prime is 4101471998213. The reversal of 4101471998208 is 8028991741014.

4101471998208 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 471 + 99 + 82 + 0 + 8 = 666.

It is a super-2 number, since 2×4101471998208² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1609050118 + ... + 1609052666.

It is an arithmetic number, because the mean of its divisors is an integer number (18836195840).

Almost surely, 2^{4101471998208} is an apocalyptic number.

4101471998208 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 4101471998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781030502400).

4101471998208 is an abundant number, since it is smaller than the sum of its proper divisors (9460589006592).

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

4101471998208 is a wasteful number, since it uses less digits than its factorization.

4101471998208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 4101471998208 in words is "four trillion, one hundred one billion, four hundred seventy-one million, nine hundred ninety-eight thousand, two hundred eight".