414030004420 has 96 divisors (see below), whose sum is σ = 916352414208. Its totient is φ = 156828198912.

The previous prime is 414030004357. The next prime is 414030004429. The reversal of 414030004420 is 24400030414.

It is a junction number, because it is equal to n+sod(n) for n = 414030004391 and 414030004400.

It is not an unprimeable number, because it can be changed into a prime (414030004429) 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, 50260542 + ... + 50268778.

It is an arithmetic number, because the mean of its divisors is an integer number (9545337648).

Almost surely, 2^414030004420 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 414030004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458176207104).

414030004420 is an abundant number, since it is smaller than the sum of its proper divisors (502322409788).

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

414030004420 is a wasteful number, since it uses less digits than its factorization.

414030004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 414030004420 its reverse (24400030414), we get a palindrome (438430034834).

The spelling of 414030004420 in words is "four hundred fourteen billion, thirty million, four thousand, four hundred twenty".