414011034 has 64 divisors (see below), whose sum is σ = 941414400. Its totient is φ = 134834544.

The previous prime is 414010997. The next prime is 414011077. The reversal of 414011034 is 430110414.

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 = 414010998 and 414011016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456009 + ... + 456915.

It is an arithmetic number, because the mean of its divisors is an integer number (14709600).

Almost surely, 2^414011034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414011034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470707200).

414011034 is an abundant number, since it is smaller than the sum of its proper divisors (527403366).

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

414011034 is a wasteful number, since it uses less digits than its factorization.

414011034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414011034 is about 20347.2610933265. The cubic root of 414011034 is about 745.3106126371.

Adding to 414011034 its reverse (430110414), we get a palindrome (844121448).

The spelling of 414011034 in words is "four hundred fourteen million, eleven thousand, thirty-four".