4012440120 has 192 divisors, whose sum is σ = 14075661600. Its totient is φ = 985420800.

The previous prime is 4012440071. The next prime is 4012440163. The reversal of 4012440120 is 210442104.

4012440120 is a `hidden beast` number, since 401 + 244 + 0 + 1 + 20 = 666.

It is a super-2 number, since 2×4012440120² = 32199351433171228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4012440093 and 4012440102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3083470 + ... + 3084770.

Almost surely, 2^4012440120 is an apocalyptic number.

4012440120 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 4012440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037830800).

4012440120 is an abundant number, since it is smaller than the sum of its proper divisors (10063221480).

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

4012440120 is a wasteful number, since it uses less digits than its factorization.

4012440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4012440120 is about 63343.8246398179. The cubic root of 4012440120 is about 1589.0449705634.

Adding to 4012440120 its reverse (210442104), we get a palindrome (4222882224).

The spelling of 4012440120 in words is "four billion, twelve million, four hundred forty thousand, one hundred twenty".