414140034 has 64 divisors (see below), whose sum is σ = 1034910720. Its totient is φ = 107334720.

The previous prime is 414140033. The next prime is 414140081. The reversal of 414140034 is 430041414.

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

It is not an unprimeable number, because it can be changed into a prime (414140033) 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, 340812 + ... + 342024.

It is an arithmetic number, because the mean of its divisors is an integer number (16170480).

Almost surely, 2^414140034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414140034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517455360).

414140034 is an abundant number, since it is smaller than the sum of its proper divisors (620770686).

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

414140034 is a wasteful number, since it uses less digits than its factorization.

414140034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414140034 is about 20350.4308062508. The cubic root of 414140034 is about 745.3880140242.

Adding to 414140034 its reverse (430041414), we get a palindrome (844181448).

The spelling of 414140034 in words is "four hundred fourteen million, one hundred forty thousand, thirty-four".