424342121243424 has 96 divisors (see below), whose sum is σ = 1155330188986176. Its totient is φ = 136261853107200.

The previous prime is 424342121243377. The next prime is 424342121243429.

424342121243424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×424342121243424² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (424342121243429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591055542 + ... + 591773045.

It is an arithmetic number, because the mean of its divisors is an integer number (12034689468606).

Almost surely, 2^{424342121243424} is an apocalyptic number.

It is an amenable number.

424342121243424 is an abundant number, since it is smaller than the sum of its proper divisors (730988067742752).

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

424342121243424 is a wasteful number, since it uses less digits than its factorization.

424342121243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182828738 (or 1182828730 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 424342121243424 in words is "four hundred twenty-four trillion, three hundred forty-two billion, one hundred twenty-one million, two hundred forty-three thousand, four hundred twenty-four".