424114121411424 has 576 divisors, whose sum is σ = 1279755520243200. Its totient is φ = 133038863548416.

The previous prime is 424114121411423. The next prime is 424114121411437.

424114121411424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 1 + 4 + 1 + 214 + 11 + 424 = 666.

424114121411424 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (424114121411423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18626811112 + ... + 18626833880.

It is an arithmetic number, because the mean of its divisors is an integer number (2221797778200).

Almost surely, 2^{424114121411424} 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 424114121411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639877760121600).

424114121411424 is an abundant number, since it is smaller than the sum of its proper divisors (855641398831776).

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

424114121411424 is a wasteful number, since it uses less digits than its factorization.

424114121411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23247 (or 23236 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The spelling of 424114121411424 in words is "four hundred twenty-four trillion, one hundred fourteen billion, one hundred twenty-one million, four hundred eleven thousand, four hundred twenty-four".