424233504245200 has 480 divisors, whose sum is σ = 1167549765782400. Its totient is φ = 146836177920000.

The previous prime is 424233504245179. The next prime is 424233504245203. The reversal of 424233504245200 is 2542405332424.

It is a super-2 number, since 2×424233504245200² (a number of 30 digits) contains 22 as substring.

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 (424233504245203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17373078591 + ... + 17373103009.

It is an arithmetic number, because the mean of its divisors is an integer number (2432395345380).

Almost surely, 2^{424233504245200} is an apocalyptic number.

424233504245200 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 424233504245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583774882891200).

424233504245200 is an abundant number, since it is smaller than the sum of its proper divisors (743316261537200).

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

424233504245200 is a wasteful number, since it uses less digits than its factorization.

424233504245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26311 (or 26300 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 424233504245200 its reverse (2542405332424), we get a palindrome (426775909577624).

The spelling of 424233504245200 in words is "four hundred twenty-four trillion, two hundred thirty-three billion, five hundred four million, two hundred forty-five thousand, two hundred".