4014041102120 has 128 divisors (see below), whose sum is σ = 10346495558400. Its totient is φ = 1372955443200.

The previous prime is 4014041102111. The next prime is 4014041102143. The reversal of 4014041102120 is 212011404104.

It is a super-2 number, since 2×4014041102120² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4014041102092 and 4014041102101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330068840 + ... + 330081000.

It is an arithmetic number, because the mean of its divisors is an integer number (80831996550).

Almost surely, 2^{4014041102120} is an apocalyptic number.

4014041102120 is a gapful number since it is divisible by the number (40) 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 4014041102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173247779200).

4014041102120 is an abundant number, since it is smaller than the sum of its proper divisors (6332454456280).

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

4014041102120 is a wasteful number, since it uses less digits than its factorization.

4014041102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14899 (or 14895 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4014041102120 its reverse (212011404104), we get a palindrome (4226052506224).

The spelling of 4014041102120 in words is "four trillion, fourteen billion, forty-one million, one hundred two thousand, one hundred twenty".