424314413424 has 240 divisors, whose sum is σ = 1319990300928. Its totient is φ = 126161280000.

The previous prime is 424314413401. The next prime is 424314413447.

424314413424 is a `hidden beast` number, since 42 + 43 + 144 + 13 + 424 = 666.

424314413424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (424314413401) and next prime (424314413447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 23720964 + ... + 23738844.

Almost surely, 2^424314413424 is an apocalyptic number.

424314413424 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 424314413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659995150464).

424314413424 is an abundant number, since it is smaller than the sum of its proper divisors (895675887504).

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

424314413424 is a wasteful number, since it uses less digits than its factorization.

424314413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18188 (or 18179 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 424314 and 413424, that added together give a palindrome (837738).

The spelling of 424314413424 in words is "four hundred twenty-four billion, three hundred fourteen million, four hundred thirteen thousand, four hundred twenty-four".