414435320140 has 72 divisors (see below), whose sum is σ = 907183070640. Its totient is φ = 158988894720.

The previous prime is 414435320129. The next prime is 414435320141. The reversal of 414435320140 is 41023534414.

It is not an unprimeable number, because it can be changed into a prime (414435320141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879114 + ... + 2088046.

It is an arithmetic number, because the mean of its divisors is an integer number (12599764870).

Almost surely, 2^414435320140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414435320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453591535320).

414435320140 is an abundant number, since it is smaller than the sum of its proper divisors (492747750500).

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

414435320140 is a wasteful number, since it uses less digits than its factorization.

414435320140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209083 (or 209040 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 414435320140 its reverse (41023534414), we get a palindrome (455458854554).

The spelling of 414435320140 in words is "four hundred fourteen billion, four hundred thirty-five million, three hundred twenty thousand, one hundred forty".