4321010014002 has 144 divisors (see below), whose sum is σ = 10775430644160. Its totient is φ = 1296682564320.

The previous prime is 4321010014001. The next prime is 4321010014003. The reversal of 4321010014002 is 2004100101234.

4321010014002 is a `hidden beast` number, since 43 + 210 + 10 + 0 + 1 + 400 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4321010014001) and next prime (4321010014003).

It is a super-4 number, since 4×4321010014002⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4321010014001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5700324 + ... + 6413712.

Almost surely, 2^{4321010014002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4321010014002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387715322080).

4321010014002 is an abundant number, since it is smaller than the sum of its proper divisors (6454420630158).

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

4321010014002 is a wasteful number, since it uses less digits than its factorization.

4321010014002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713531 (or 713508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4321010014002 its reverse (2004100101234), we get a palindrome (6325110115236).

The spelling of 4321010014002 in words is "four trillion, three hundred twenty-one billion, ten million, fourteen thousand, two".