414012044424 has 192 divisors, whose sum is σ = 1227336001920. Its totient is φ = 115849676800.

The previous prime is 414012044377. The next prime is 414012044449. The reversal of 414012044424 is 424440210414.

It is a junction number, because it is equal to n+sod(n) for n = 414012044391 and 414012044400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2537389 + ... + 2695619.

It is an arithmetic number, because the mean of its divisors is an integer number (6392375010).

Almost surely, 2^414012044424 is an apocalyptic number.

414012044424 is a gapful number since it is divisible by the number (44) 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 414012044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613668000960).

414012044424 is an abundant number, since it is smaller than the sum of its proper divisors (813323957496).

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

414012044424 is a wasteful number, since it uses less digits than its factorization.

414012044424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158332 (or 158317 counting only the distinct ones).

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

Adding to 414012044424 its reverse (424440210414), we get a palindrome (838452254838).

The spelling of 414012044424 in words is "four hundred fourteen billion, twelve million, forty-four thousand, four hundred twenty-four".