424357427200 has 576 divisors, whose sum is σ = 1282896014400. Its totient is φ = 136367308800.

The previous prime is 424357427159. The next prime is 424357427201. The reversal of 424357427200 is 2724753424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424357427201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760819080 + ... + 1760819320.

It is an arithmetic number, because the mean of its divisors is an integer number (2227250025).

Almost surely, 2^424357427200 is an apocalyptic number.

424357427200 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 424357427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641448007200).

424357427200 is an abundant number, since it is smaller than the sum of its proper divisors (858538587200).

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

424357427200 is an equidigital number, since it uses as much as digits as its factorization.

424357427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 40.

The spelling of 424357427200 in words is "four hundred twenty-four billion, three hundred fifty-seven million, four hundred twenty-seven thousand, two hundred".