410002042120 has 64 divisors (see below), whose sum is σ = 1018493663040. Its totient is φ = 147295353600.

The previous prime is 410002042091. The next prime is 410002042129. The reversal of 410002042120 is 21240200014.

It is a junction number, because it is equal to n+sod(n) for n = 410002042094 and 410002042103.

It is not an unprimeable number, because it can be changed into a prime (410002042129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5576871 + ... + 5649910.

It is an arithmetic number, because the mean of its divisors is an integer number (15913963485).

Almost surely, 2^410002042120 is an apocalyptic number.

410002042120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410002042120 is an abundant number, since it is smaller than the sum of its proper divisors (608491620920).

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

410002042120 is a wasteful number, since it uses less digits than its factorization.

410002042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226886 (or 11226882 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 410002042120 its reverse (21240200014), we get a palindrome (431242242134).

The spelling of 410002042120 in words is "four hundred ten billion, two million, forty-two thousand, one hundred twenty".