4214140412120 has 128 divisors (see below), whose sum is σ = 9875208960000. Its totient is φ = 1617295667712.

The previous prime is 4214140412113. The next prime is 4214140412171. The reversal of 4214140412120 is 212140414124.

It is a self number, because there is not a number n which added to its sum of digits gives 4214140412120.

It is a congruent number.

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, 39767366 + ... + 39873194.

It is an arithmetic number, because the mean of its divisors is an integer number (77150070000).

Almost surely, 2^{4214140412120} is an apocalyptic number.

4214140412120 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 4214140412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937604480000).

4214140412120 is an abundant number, since it is smaller than the sum of its proper divisors (5661068547880).

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

4214140412120 is a wasteful number, since it uses less digits than its factorization.

4214140412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106305 (or 106301 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 4214140412120 its reverse (212140414124), we get a palindrome (4426280826244).

The spelling of 4214140412120 in words is "four trillion, two hundred fourteen billion, one hundred forty million, four hundred twelve thousand, one hundred twenty".