414413140030340 has 192 divisors, whose sum is σ = 962807107046400. Its totient is φ = 148578516480000.

The previous prime is 414413140030339. The next prime is 414413140030367. The reversal of 414413140030340 is 43030041314414.

It is a super-2 number, since 2×414413140030340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414413140030297 and 414413140030306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5901352469 + ... + 5901422691.

It is an arithmetic number, because the mean of its divisors is an integer number (5014620349200).

Almost surely, 2^{414413140030340} 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 414413140030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481403553523200).

414413140030340 is an abundant number, since it is smaller than the sum of its proper divisors (548393967016060).

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

414413140030340 is a wasteful number, since it uses less digits than its factorization.

414413140030340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71454 (or 71452 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 414413140030340 its reverse (43030041314414), we get a palindrome (457443181344754).

The spelling of 414413140030340 in words is "four hundred fourteen trillion, four hundred thirteen billion, one hundred forty million, thirty thousand, three hundred forty".