414122142 has 64 divisors (see below), whose sum is σ = 1004935680. Its totient is φ = 111062016.

The previous prime is 414122083. The next prime is 414122147. The reversal of 414122142 is 241221414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414122147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441498 + ... + 442434.

It is an arithmetic number, because the mean of its divisors is an integer number (15702120).

Almost surely, 2^414122142 is an apocalyptic number.

414122142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414122142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502467840).

414122142 is an abundant number, since it is smaller than the sum of its proper divisors (590813538).

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

414122142 is a wasteful number, since it uses less digits than its factorization.

414122142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585.

The product of its digits is 512, while the sum is 21.

The square root of 414122142 is about 20349.9912039293. The cubic root of 414122142 is about 745.3772795920.

Adding to 414122142 its reverse (241221414), we get a palindrome (655343556).

The spelling of 414122142 in words is "four hundred fourteen million, one hundred twenty-two thousand, one hundred forty-two".