424351145400 has 768 divisors, whose sum is σ = 1695431485440. Its totient is φ = 85338316800.

The previous prime is 424351145369. The next prime is 424351145453. The reversal of 424351145400 is 4541153424.

It is a happy number.

424351145400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 578923434 + ... + 578924166.

It is an arithmetic number, because the mean of its divisors is an integer number (2207593080).

Almost surely, 2^424351145400 is an apocalyptic number.

424351145400 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 424351145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847715742720).

424351145400 is an abundant number, since it is smaller than the sum of its proper divisors (1271080340040).

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

424351145400 is a wasteful number, since it uses less digits than its factorization.

424351145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 424351145400 its reverse (4541153424), we get a palindrome (428892298824).

The spelling of 424351145400 in words is "four hundred twenty-four billion, three hundred fifty-one million, one hundred forty-five thousand, four hundred".