4012102214208 has 448 divisors, whose sum is σ = 13859348659200. Its totient is φ = 1125009285120.

The previous prime is 4012102214191. The next prime is 4012102214231. The reversal of 4012102214208 is 8024122012104.

4012102214208 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 10 + 221 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 15400360 + ... + 15658712.

Almost surely, 2^{4012102214208} is an apocalyptic number.

4012102214208 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 4012102214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929674329600).

4012102214208 is an abundant number, since it is smaller than the sum of its proper divisors (9847246444992).

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

4012102214208 is a wasteful number, since it uses less digits than its factorization.

4012102214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258447 (or 258431 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 4012102214208 in words is "four trillion, twelve billion, one hundred two million, two hundred fourteen thousand, two hundred eight".