4140120012320 has 192 divisors, whose sum is σ = 10382054860800. Its totient is φ = 1555796782080.

The previous prime is 4140120012311. The next prime is 4140120012349. The reversal of 4140120012320 is 232100210414.

4140120012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4140120012292 and 4140120012301.

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, 199696355 + ... + 199717085.

It is an arithmetic number, because the mean of its divisors is an integer number (54073202400).

Almost surely, 2^{4140120012320} is an apocalyptic number.

4140120012320 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 4140120012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191027430400).

4140120012320 is an abundant number, since it is smaller than the sum of its proper divisors (6241934848480).

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

4140120012320 is a wasteful number, since it uses less digits than its factorization.

4140120012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311 (or 21303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4140120012320 its reverse (232100210414), we get a palindrome (4372220222734).

The spelling of 4140120012320 in words is "four trillion, one hundred forty billion, one hundred twenty million, twelve thousand, three hundred twenty".