4102014014340 has 384 divisors, whose sum is σ = 13622910013440. Its totient is φ = 911120793600.

The previous prime is 4102014014339. The next prime is 4102014014353. The reversal of 4102014014340 is 434104102014.

It is a self number, because there is not a number n which added to its sum of digits gives 4102014014340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68153860 + ... + 68214020.

It is an arithmetic number, because the mean of its divisors is an integer number (35476328160).

Almost surely, 2^{4102014014340} 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 4102014014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811455006720).

4102014014340 is an abundant number, since it is smaller than the sum of its proper divisors (9520895999100).

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

4102014014340 is a wasteful number, since it uses less digits than its factorization.

4102014014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60363 (or 60361 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4102014014340 its reverse (434104102014), we get a palindrome (4536118116354).

The spelling of 4102014014340 in words is "four trillion, one hundred two billion, fourteen million, fourteen thousand, three hundred forty".