414241031424 has 288 divisors, whose sum is σ = 1237706426880. Its totient is φ = 121888972800.

The previous prime is 414241031389. The next prime is 414241031531. The reversal of 414241031424 is 424130142414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 414241031391 and 414241031400.

It is a congruent number.

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, 205986579 + ... + 205988589.

It is an arithmetic number, because the mean of its divisors is an integer number (4297591760).

Almost surely, 2^414241031424 is an apocalyptic number.

414241031424 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 414241031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618853213440).

414241031424 is an abundant number, since it is smaller than the sum of its proper divisors (823465395456).

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

414241031424 is a wasteful number, since it uses less digits than its factorization.

414241031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 414241031424 its reverse (424130142414), we get a palindrome (838371173838).

The spelling of 414241031424 in words is "four hundred fourteen billion, two hundred forty-one million, thirty-one thousand, four hundred twenty-four".