4412120040 has 48 divisors (see below), whose sum is σ = 14339391300. Its totient is φ = 1176565248.

The previous prime is 4412120029. The next prime is 4412120099. The reversal of 4412120040 is 400212144.

4412120040 is a `hidden beast` number, since 441 + 21 + 200 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4406038884 + 6081156 = 66378^2 + 2466^2 .

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 = 4412119995 and 4412120022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6127585 + ... + 6128304.

Almost surely, 2^4412120040 is an apocalyptic number.

4412120040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4412120040 is an abundant number, since it is smaller than the sum of its proper divisors (9927271260).

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

4412120040 is a wasteful number, since it uses less digits than its factorization.

4412120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255906 (or 12255899 counting only the distinct ones).

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

The square root of 4412120040 is about 66423.7912197128. The cubic root of 4412120040 is about 1640.1457385853.

Adding to 4412120040 its reverse (400212144), we get a palindrome (4812332184).

The spelling of 4412120040 in words is "four billion, four hundred twelve million, one hundred twenty thousand, forty".