414120042 has 24 divisors (see below), whose sum is σ = 1025440416. Its totient is φ = 118319976.

The previous prime is 414120023. The next prime is 414120053. The reversal of 414120042 is 240021414.

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 = 414119997 and 414120024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1643208 + ... + 1643459.

It is an arithmetic number, because the mean of its divisors is an integer number (42726684).

Almost surely, 2^414120042 is an apocalyptic number.

414120042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414120042 is an abundant number, since it is smaller than the sum of its proper divisors (611320374).

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

414120042 is a wasteful number, since it uses less digits than its factorization.

414120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286682 (or 3286679 counting only the distinct ones).

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

The square root of 414120042 is about 20349.9396067900. The cubic root of 414120042 is about 745.3760196618.

Adding to 414120042 its reverse (240021414), we get a palindrome (654141456).

The spelling of 414120042 in words is "four hundred fourteen million, one hundred twenty thousand, forty-two".