414414022440 has 128 divisors (see below), whose sum is σ = 1357136363520. Its totient is φ = 100399392000.

The previous prime is 414414022417. The next prime is 414414022493. The reversal of 414414022440 is 44220414414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 414414022398 and 414414022407.

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, 1968265 + ... + 2168615.

It is an arithmetic number, because the mean of its divisors is an integer number (10602627840).

Almost surely, 2^414414022440 is an apocalyptic number.

414414022440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414414022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678568181760).

414414022440 is an abundant number, since it is smaller than the sum of its proper divisors (942722341080).

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

414414022440 is a wasteful number, since it uses less digits than its factorization.

414414022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201943 (or 201939 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 414414022440 its reverse (44220414414), we get a palindrome (458634436854).

The spelling of 414414022440 in words is "four hundred fourteen billion, four hundred fourteen million, twenty-two thousand, four hundred forty".