424353141353424 has 160 divisors (see below), whose sum is σ = 1109194838236800. Its totient is φ = 139785601996800.

The previous prime is 424353141353419. The next prime is 424353141353503.

It is a happy number.

424353141353424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 12894727882 + ... + 12894760790.

It is an arithmetic number, because the mean of its divisors is an integer number (6932467738980).

Almost surely, 2^{424353141353424} 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 424353141353424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554597419118400).

424353141353424 is an abundant number, since it is smaller than the sum of its proper divisors (684841696883376).

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

424353141353424 is a wasteful number, since it uses less digits than its factorization.

424353141353424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37973 (or 37967 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 424353141353424 in words is "four hundred twenty-four trillion, three hundred fifty-three billion, one hundred forty-one million, three hundred fifty-three thousand, four hundred twenty-four".