404142120 has 96 divisors (see below), whose sum is σ = 1349005320. Its totient is φ = 104855040.

The previous prime is 404142113. The next prime is 404142121. The reversal of 404142120 is 21241404.

404142120 is a `hidden beast` number, since 40 + 414 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 336869316 + 67272804 = 18354^2 + 8202^2 .

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 = 404142093 and 404142102.

It is not an unprimeable number, because it can be changed into a prime (404142121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851 + ... + 28490.

Almost surely, 2^404142120 is an apocalyptic number.

404142120 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 404142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674502660).

404142120 is an abundant number, since it is smaller than the sum of its proper divisors (944863200).

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

404142120 is a wasteful number, since it uses less digits than its factorization.

404142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30395 (or 30388 counting only the distinct ones).

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

The square root of 404142120 is about 20103.2862985135. The cubic root of 404142120 is about 739.3408544904.

Adding to 404142120 its reverse (21241404), we get a palindrome (425383524).

The spelling of 404142120 in words is "four hundred four million, one hundred forty-two thousand, one hundred twenty".