424261427200 has 336 divisors, whose sum is σ = 1192810842720. Its totient is φ = 148387921920.

The previous prime is 424261427179. The next prime is 424261427201. The reversal of 424261427200 is 2724162424.

It is not an unprimeable number, because it can be changed into a prime (424261427201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50581407 + ... + 50589793.

It is an arithmetic number, because the mean of its divisors is an integer number (3550032270).

Almost surely, 2^424261427200 is an apocalyptic number.

424261427200 is a gapful number since it is divisible by the number (40) 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 424261427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596405421360).

424261427200 is an abundant number, since it is smaller than the sum of its proper divisors (768549415520).

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

424261427200 is a wasteful number, since it uses less digits than its factorization.

424261427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

Adding to 424261427200 its reverse (2724162424), we get a palindrome (426985589624).

The spelling of 424261427200 in words is "four hundred twenty-four billion, two hundred sixty-one million, four hundred twenty-seven thousand, two hundred".