4001343010002 has 144 divisors (see below), whose sum is σ = 9499659886080. Its totient is φ = 1216548523008.

The previous prime is 4001343009967. The next prime is 4001343010019. The reversal of 4001343010002 is 2000103431004.

4001343010002 is a `hidden beast` number, since 400 + 134 + 30 + 100 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190902399 + ... + 190923357.

It is an arithmetic number, because the mean of its divisors is an integer number (65969860320).

Almost surely, 2^{4001343010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001343010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749829943040).

4001343010002 is an abundant number, since it is smaller than the sum of its proper divisors (5498316876078).

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

4001343010002 is a wasteful number, since it uses less digits than its factorization.

4001343010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21737 (or 21721 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4001343010002 its reverse (2000103431004), we get a palindrome (6001446441006).

The spelling of 4001343010002 in words is "four trillion, one billion, three hundred forty-three million, ten thousand, two".