2024134400424 has 64 divisors (see below), whose sum is σ = 5358565900800. Its totient is φ = 635372766144.

The previous prime is 2024134400413. The next prime is 2024134400473. The reversal of 2024134400424 is 4240044314202.

It is a junction number, because it is equal to n+sod(n) for n = 2024134400391 and 2024134400400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13213942 + ... + 13366245.

It is an arithmetic number, because the mean of its divisors is an integer number (83727592200).

Almost surely, 2^{2024134400424} is an apocalyptic number.

2024134400424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2024134400424 is an abundant number, since it is smaller than the sum of its proper divisors (3334431500376).

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

2024134400424 is a wasteful number, since it uses less digits than its factorization.

2024134400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26580382 (or 26580378 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2024134400424 its reverse (4240044314202), we get a palindrome (6264178714626).

The spelling of 2024134400424 in words is "two trillion, twenty-four billion, one hundred thirty-four million, four hundred thousand, four hundred twenty-four".