4384202213412 has 360 divisors, whose sum is σ = 13572059941440. Its totient is φ = 1208871734400.

The previous prime is 4384202213357. The next prime is 4384202213431. The reversal of 4384202213412 is 2143122024834.

4384202213412 is a `hidden beast` number, since 4 + 3 + 8 + 4 + 20 + 2 + 213 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 847841587 + ... + 847846757.

It is an arithmetic number, because the mean of its divisors is an integer number (37700166504).

Almost surely, 2^{4384202213412} is an apocalyptic number.

4384202213412 is a gapful number since it is divisible by the number (42) 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 4384202213412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786029970720).

4384202213412 is an abundant number, since it is smaller than the sum of its proper divisors (9187857728028).

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

4384202213412 is a wasteful number, since it uses less digits than its factorization.

4384202213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4384202213412 in words is "four trillion, three hundred eighty-four billion, two hundred two million, two hundred thirteen thousand, four hundred twelve".