4140101120 has 80 divisors (see below), whose sum is σ = 10510563888. Its totient is φ = 1558609920.

The previous prime is 4140101117. The next prime is 4140101129. The reversal of 4140101120 is 211010414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4140101095 and 4140101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4046 + ... + 91085.

Almost surely, 2^4140101120 is an apocalyptic number.

4140101120 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 4140101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255281944).

4140101120 is an abundant number, since it is smaller than the sum of its proper divisors (6370462768).

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

4140101120 is an equidigital number, since it uses as much as digits as its factorization.

4140101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95171 (or 95155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4140101120 is about 64343.6175545019. The cubic root of 4140101120 is about 1605.7218467350.

Adding to 4140101120 its reverse (211010414), we get a palindrome (4351111534).

The spelling of 4140101120 in words is "four billion, one hundred forty million, one hundred one thousand, one hundred twenty".