4002111310340 has 192 divisors, whose sum is σ = 10309305065472. Its totient is φ = 1284176678400.

The previous prime is 4002111310339. The next prime is 4002111310441. The reversal of 4002111310340 is 430131112004.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 113321285 + ... + 113356595.

It is an arithmetic number, because the mean of its divisors is an integer number (53694297216).

Almost surely, 2^{4002111310340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002111310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154652532736).

4002111310340 is an abundant number, since it is smaller than the sum of its proper divisors (6307193755132).

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

4002111310340 is a wasteful number, since it uses less digits than its factorization.

4002111310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37090 (or 37088 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4002111310340 its reverse (430131112004), we get a palindrome (4432242422344).

The spelling of 4002111310340 in words is "four trillion, two billion, one hundred eleven million, three hundred ten thousand, three hundred forty".