424120304400 has 480 divisors, whose sum is σ = 1558502749440. Its totient is φ = 98247352320.

The previous prime is 424120304357. The next prime is 424120304423. The reversal of 424120304400 is 4403021424.

It is a happy number.

It is a super-4 number, since 4×424120304400⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44814069 + ... + 44823531.

It is an arithmetic number, because the mean of its divisors is an integer number (3246880728).

Almost surely, 2^424120304400 is an apocalyptic number.

424120304400 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 424120304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779251374720).

424120304400 is an abundant number, since it is smaller than the sum of its proper divisors (1134382445040).

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

424120304400 is a wasteful number, since it uses less digits than its factorization.

424120304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 424120304400 its reverse (4403021424), we get a palindrome (428523325824).

The spelling of 424120304400 in words is "four hundred twenty-four billion, one hundred twenty million, three hundred four thousand, four hundred".